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Informations générales
Nom & Prénom : AREF JERIBI
Site web : https://www.fss.rnu.tn/fra/profil/AREF_JERIBI
Adresse :

Département de mathématiques, Université de Sfax,

Faculté des sciences de Sfax,

Route de Soukra Km 3.5,

BP 1171, 3018,

Sfax, Tunisie

Bibliographie :

https://www.wikidata.org/wiki/Q86888480

https://orcid.org/0000-0001-6715-5996

https://mathscinet.ams.org/mathscinet/MRAuthorID/611068

Aref Jeribi is Professor at the Department of Mathematics, University of Sfax, Tunisia. He completed his Habilitation of Mathematics in 2002 at the University of Sfax, Tunisia, and defended his PhD thesis in 1998 at the University of Corsica Pasquale Paoli, France. His research interests include spectral theory, matrix oper- ators, transport theory, Gribov operator, Bargmann space, fixed point theory, Riesz basis, and linear relations.

He is the author of the book Spectral Theory and Applications of Linear Operators and Block Operator Matrices (SpringerVerlag, New-York, 2015), co-author of the book Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications (Taylor-Francis, 2015), the author of the book Dense- ness, Bases, and Frames in Banach Spaces and Applications (De Gruyter, Berlin, 2018), the author of the book Linear Operators and Their Essential Pseudospectra (Apple Academic Press, CRC Press, Oakville, Boca Raton, 2018), the coauthor of the book Analyse Numérique Matricielle, Méthodes et Algorithmes, Exercices et Problèmes Corrigés (Références Sciences. Paris: Ellipses, 2020), the coauthor of the book Spectral Theory of Multivalued Linear Operators (Apple Academic Press, CRC Press, Oakville, Boca Raton, 2021), the author of the book Perturbation Theory for Linear Operators: Denseness and Bases with Applications (SpringerVerlag, Singapore, 2021), and the author of the book Résolution de divers problèmes elliptiques par des méthodes d’éléments finis : cours, exercices, et problèmes corrigés (Références Sciences. Paris: Ellipses, 2021), and 160 research articles published in reputed journals and conference proceedings.
Télécharger Curriculum vitae
Spécialités

Mathématiques appliquées 

Scolarité & Diplômes

Habilitation Universitaire 2002, Université de Sfax, Tunisie

Doctorat de Mathématiques 1998, Université de Corse, France

DEA Mathématiques et applications 1994, Université de Besançon, France

Maitrise de Mathématiques 1993, Université de Sfax, Tunisie

Enseignements
Publications

https://mathscinet.ams.org/mathscinet/MRAuthorID/611068

Books and Monographs 

[8] Résolution de divers problèmes elliptiques par des méthodes d'éléments finis - Cours, exercices, et problèmes corrigés. Edition Ellipses (ISBN 978-2-340-06117-0). 444 p. (2021).

 

[7] Perturbation theory for linear operators: Denseness and bases with applications. Springer-Verlag (ISBN 978-981-16-2527-5), Singapore (2021).

 

[6] with A. Ammar

Spectral Theory of Multivalued linear operators. (English) Boca Raton, FL : CRC Press (ISBN 9781771889667). 314 p. (2021).

 

[5] with M. Benhamadou 

Analyse numérique matricielle - Méthodes et algorithmes, exercices et problèmes corrigés,  Edition Ellipses (ISBN 978-2-340-03803-5). 680 p. (2020).

 

[4] Linear operators and their essential pseudospectra. (English) Zbl 06849046 Boca Raton, FL : CRC Press (ISBN 978-1-77188-699-4/hbk). 352 p. (2018).

 

[3] Denseness, bases and frames in Banach spaces and applications. (English) Zbl 06849137 Berlin : De Gruyter (ISBN 978-3-11-048488-5/hbk ; 978-3-11-049386-3/ebook). xv, 406 p. (2018).

 

[2] with B. Krichen 

Nonlinear functional analysis in Banach spaces and Banach algebras : fixed point theory under weak topology for nonlinear operators and block operator matrices with appli- cations, Monographs and Research Notes in Mathematics, Taylor-Francis (2015).

 

[1] Spectral theory and applications of linear operators and block operator matrices, Springer-Verlag (ISBN 978-3-319-17566-9), New-York (2015).

 
 

Edited Volumes 

[2] Aref Jeribi (ed.)

Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 - May 3, 2018. De Gruyter Proceedings in Mathematics. Berlin: De Gruyter.  (ISBN 978-3-11-059686-1/hbk; 978-3-11-059819-3/ebook). x, 216 p. (2021).

 

[1] with M. A. Hammami, A. Masmoudi (ed.)

Applied mathematics in Tunisia. Proceedings of the International Conference on Ad- vances in Applied Mathematics (ICAAM) held in Hammamet, December 16Ű19, 2013. Edited by Aref Jeribi, Mohamed Ali Hammami and Afif Masmoudi. Springer Procee- dings in Mathematics and Statistics, 131. Springer, Cham, 2015. xix+397 pp. ISBN : 978-3-319-18041-0 ; 978-3-319-18040-3.

 

Articles parus 

 
 
[199] Chelly, SlimJeribi, ArefKrichen, Bilel. Demicompactness perturbation in Banach algebras and some stability results. Georgian Math. J. 30 (2023), no. 1, 53--63. MR4542427
 
[198] Ammar, AymenJeribi, ArefMahfoudhi, Kamel. A new spectral approach in the matrix algebra: trace pseudospectrum. Bol. Soc. Parana. Mat. (3) 41 (2023),
 
[197] Ammar, Aymen; Bouchekoua, Ameni; Jeribi, Aref. New results of the pseudospectra of linear operators in a Banach space, Funct. Anal. Approx. Comput. 15 (2023), no 1, 13--26. MR4534341.
 
[196] Ammar, Aymen; Boutaf, Fatima; Jeribi, Aref. Essential spectra in non-Archimediean fields. Bol. Soc. Mat. Mex. (3) 29 (2023), no. 1, Paper No. 18.
 
 
[195] Ben Amara, Khaled; Jeribi, Aref; Kaddachi, Najib. Equivalence of some properties in the theory of Banach algebras and applications. J. Math. Anal. Appl. 520 (2023), no. 1, 126865
 
[194] Ellouz, Hanen; Feki, Ines; Jeribi, Aref. On the basis property of root vectors related to a non-self-adjoint analytic operator and applications. J. Math. Anal. 45 (2022), 59--86. 
 
[193] Jeribi, Aref; Krichen, Bilel; Salhi, Makrem. Weak demicompactness involving measures of weak noncompactness and invariance of the essential spectrum. Filomat 36 (2022), no. 9, 3051--3073. MR4520879 Add to clipboard 
 

[192] Abdmouleh, Faiçal; Alvarez, Teresa; Jeribi, Aref. On a characterization of the essential spectra. Filomat 36 (2022), no. 9, 2921--2938. MR4520869

 
[191] Ammar, Aymen; Jeribi, Aref; Saadaoui, Bilel. Demicompactness, selection of linear relation and application to multivalued matrix. Filomat 36 (2022), no. 7, 2215-2235. MR4518393.
 
[190] Benkhaled, Hedi; Elleuch, Asrar; Jeribi, Aref. Uniformly continuous cosine families properties around weak demicompactness concept. Hacet. J. Math. Stat. 51 (2022), no. 6, 1674--1679. MR4510348
 
[189] Ellouz, HanenFeki, InesJeribi, Aref. On the closedness and self-adjointness of $3 times 3$ operator matrices and application to a non-relativistic three-channel potential scattering model. Asymptot. Anal. 130 (2022), no. 3-4, 409--426. MR4509685
 
[188] Ammar, A.; Boutaf, F. Z.; Jeribi, A. Essential spectra in non-archimedean fields. Mat. Stud. 58 (2022), no. 1, 82--93. MR4509572
 
[187] Ammar, Aymen; Jeribi, Aref. Spectral theory of multivalued linear operators. Apple Academic Press, Oakville, ON; CRC Press, Boca Raton, FL, 2022. xviii+295 pp. ISBN: 978-1-77188-966-7; 978-1-77463-938-2; 978-1-00313-112-0 MR4492807 
 
 
[186] Ammar, Aymen; Fakhfakh, Slim; Jeribi, Aref. Fredholm theory for demicompact linear relations. Appl. Gen. Topol. 23 (2022), no. 2, 425--436.
 
[185] Ammar, Aymen; Ezzadam, Aicha; Jeribi, Aref. A Characterization of the Essential Spectra of $2times 2$ Block Matrices of Linear Relations. Bull. Iranian Math. Soc. 48 (2022), no. 5, 2463--2485. MR4487718
 
[184] Baloudi, Hatem; Belgacem, Sayda; Jeribi, Aref. Riesz Projection and Essential S-spectrum in Quaternionic Setting. Complex Anal. Oper. Theory 16 (2022), no. 7, Paper No. 95. MR4482144
 
[183] Ammar, Aymen; Fakhfakh, Slim; Jeribi, Aref. Some results on the stability of $sigma_{eap}(cdot)$ and $sigma_{edelta}(cdot)$ of linear relations. Funct. Anal. Approx. Comput. 14 (2022), no. 2, 51--62.
 
[182] Jeribi, Aref; Krichen, Bilel; Salhi, Makrem. Characterization of Essential Spectra Involving Weakly Demicompact Operators on Banach Spaces. Bull. Iranian Math. Soc. 48 (2022), no. 4, 1513--1538.
 
[181] Chelly, Slim; Jeribi, Aref; Krichen, Bilel. Stability of relative essential spectra of the transport operator in $L^1$-space by means of measures of noncompactness and relative weak demicompactness. Monatsh. Math. 198 (2022), no. 4, 653--674.
 
[180] Benkhaled, Hedi; Elleuch, Asrar; Jeribi, Aref. Demicompactness Properties for Uniformly Continuous Cosine Families. Mediterr. J. Math. 19 (2022), no. 4, 157.
 
[179]  Ammar, Aymen; Jeribi, Aref; Saadaoui, Bilel. A new decomposition for multivalued $3times3$ matrices. Random Matrices Theory Appl. 11 (2022), no. 3, Paper No. 2250028, 29 pp.
 
[178] Jeribi, Aref; Kaddachi, Najib; Laouar, Zahra. Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application. Numer. Funct. Anal. Optim. 43 (2022), no. 1, 68--87.
 
[177] Ferjani, Imen; Jeribi, Aref; Krichen, Bilel. Spectral properties for generalized weakly $S$-demicompact operators. Linear Multilinear Algebra 70 (2022), no. 4, 606--624. MR4393628 Add to clipboard 
 

[176] Ammar, Aymen; Jeribi, Aref; Lazrag, Nawrez. Pseudo $S$-spectrum in a right quaternionic Hilbert space. Linear Multilinear Algebra 70 (2022), no. 4, 581--605. MR4393627 Add to clipboard

 
[175] Ammar, Aymen; Daoud, Houcem; Jeribi, Aref. The index of a linear relation under strictly singular perturbations. Adv. Oper. Theory 7 (2022), no. 1, Paper No. 11. MR4362416
 
 
[174] Amara, Khaled Ben; Jeribi, Aref; Kaddachi, Najib. On existence results in fixed set theory and applications to self-similarity. Fixed Point Theory 23 (2022), no. 1, 85--104. MR4370339
 
 
[173] Jeribi, Aref; Moalla, Nedra; Yengui, Sonia. Perturbation theory, $M$-essential spectra of $2times 2$ operator matrices and application to transport operators. J. Math. Appl. 44 (2021), 35--55. MR4373109 
 
[172] Ammar, A.; Jeribi, A.; Mahfoudhi, K. A new spectral approach in the matrix algebra: C-determinant pseudospectrum. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 2021, no. 7, 3--11.
 
[171] Jeribi, Aref, Solving various elliptical problems using finite element methods. Lessons, exercises, and corrected problems. (Résolution de divers problèmes elliptiques par des méthodes d’éléments finis. Cours, exercices, et problèmes corrigés.) (French) Zbl 1473.65001 Références Sciences. Paris: Ellipses (ISBN 978-2-340-06117-0/pbk). 456 p. (2021).
 
[170] Fahem, Amor; Jeribi, Aref; Kaddachi, Najib, Existence of solutions for an integral equation of Chandrasekhar type in Banach algebras with respect to the weak topology. (English) Zbl 07361678 Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 177-181 (2021).
 
[169] Ammar, Aymen; Jeribi, Aref; Lazrag, Nawrez, Sequence of linear operators converging in the generalized sense and its essential pseudospectra. (English) Zbl 07361676 Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 147-155 (2021).
 
[168] Ammar, Aymen; Bouchekoua, Ameni; Jeribi, Aref, Some results of S-pseudospectra of bounded operators in a Hilbert space. (English) Zbl 07361674 Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 121-129 (2021).
 
[167] Ferjani, Imen; Jeribi, Aref; Krichen, Bilel, Invariance of essential spectrum by means of generalized weak demicompactness. (English) Zbl 07361673 Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 115-120 (2021).
 
[166] Ammar, Aymen; Daoud, Houcem; Jeribi, Aref, Pseudospectra of multivalued linear operators. (English) Zbl 07361671 Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 85-100 (2021).
 
[165] Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. (English) Zbl 1458.47004 De Gruyter Proceedings in Mathematics Series Profile . Berlin: De Gruyter (ISBN 978-3-11-059686-1/hbk; 978-3-11-059819-3/ebook). x, 216 p. (2021).
 
[164] MR4349695 Amara, Khaled Ben; Jeribi, Aref; Kaddachi, Najib, New fixed point theorems for countably condensing maps with an application to functional integral inclusions. Math. Slovaca 71 (2021), no. 6, 1487--1510. 
 
[163] MR4329906 Ammar, Aymen; Jeribi, Aref; Saadaoui, Bilel. Essential S-Spectrum for Quaternionic Quasi-Compact Operators on Right Quaternionic Hilbert Spaces.Acta Appl. Math. 176 (2021), Paper No. 1. 
 
[162] MR4306622 Jeribi, Aref. Perturbation theory for linear operators. Denseness and bases with applications. Springer, Singapore, [2021], ©2021. 509 pp. ISBN: 978-981-16-2527-5; 978-981-16-2528-2   Add to clipboard
 
[161] MR4295289 Ferjani, Imen; Jeribi, Aref; Krichen, Bilel; Generalized weak demicompactness involving measure of non-strict-singularity. Indian J. Pure Appl. Math. 52 (2021), no. 2, 529-541.
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[160] MR4252843 Prelim Chaker, Wajdi; Jeribi, Aref; Krichen, Bilel; Some Fredholm theory results around relative demicompactness concept. Commun. Korean Math. Soc. 36 (2021), no. 2, 313–325. 47A53 (47A10 47A55)
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[159] MR4232871 Pending Ammar, Aymen; Bouchekoua, Ameni; Jeribi, Aref The local spectral theory for linear relations involving SVEP. Mediterr. J. Math. 18 (2021), no. 2, Paper No. 77, 27 pp. 47A06 (47A11)
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[158] MR4224960 Reviewed Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel The condition pseudospectrum of a operator pencil. Asian-Eur. J. Math. 14 (2021), no. 4, 2150057, 12 pp. 47A53 (47A13 47A55 54B35)
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[157] MR4220808 Pending Ammar, Aymen; Jeribi, Aref; Saadaoui, Bilel Some decomposition for multivalued matrix pencils linear operator. Bol. Soc. Mat. Mex. (3) 27 (2021), no. 1, Paper No. 17, 23 pp. 47A06 (47A53)
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[156] Benhamadou, Mongi; Jeribi, Aref Matrix numerical analysis. Methods and algorithms, exercises and corrected problems. (Analyse numérique matricielle. Méthodes et algorithmes, exercices et problèmes corrigés.) (French) Zbl 07395987 Références Sciences. Paris: Ellipses (ISBN 978-2-340-03803-5/pbk). viii, 667 p. (2020).
 
[155] Ferjani, Imen; Jeribi, Aref; Krichen, Bilel. On relative essential spectra of a 3X3 operator matrix involving relative generalized weak demicompactness. Filomat 34 (2020), no. 13, 4271--4286. MR4290848 Add to clipboard
 
[154] MR4209247 Reviewed Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel Some description of essential structured approximate and defect pseudospectrum. Korean J. Math. 28 (2020), no. 4, 673–697. 47A53 (47A13 47A55 47G20 54B35)
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[153] MR4171241 Reviewed Jeribi, Aref; Krichen, Bilel; Zitouni, Ali Properties of demicompact operators, essential spectra and some perturbation results for block operator matrices with applications. Linear Multilinear Algebra 68 (2020), no. 12, 2506–2522. 47A10 (47A08 47A53 47A55)
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[152] MR4168348 Reviewed Ammar, Aymen; Jeribi, Aref; Lazrag, Nawrez Sequence of multivalued linear operators converging in the generalized sense. Bull. Iranian Math. Soc. 46 (2020), no. 6, 1697–1729. 47A06 (39B42)
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[151] MR4113570 Reviewed Ammar, Aymen; Daoud, Houcem; Jeribi, Aref S-pseudospectra and S-essential pseudospectra. Mat. Vesnik 72 (2020), no. 2, 95–105. 47A06 (47A10)
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[150] MR4109255 Reviewed Ammar, Aymen; Fakhfakh, Slim; Jeribi, Aref Demicompact operators and ellipsoid spectra on quaternionic Hilbert spaces. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 114 (2020), no. 3, Paper No. 149, 10 pp. 47A06
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[149] MR4098115 Reviewed Ammar, Aymen; Bouchekoua, Ameni; Jeribi, Aref The ε-pseudospectra and the essential ε-pseudospectra of linear relations. J. Pseudo-Differ. Oper. Appl. 11 (2020), no. 2, 879–915. (Reviewer: Anuradha Gupta) 47A06 (47A53)
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[148] MR4092434 Reviewed Ammar, Aymen; Fakhfakh, Slim; Jeribi, Aref Shechter spectra and relatively demicompact linear relations. Commun. Korean Math. Soc. 35 (2020), no. 2, 499–516. 47A06 (47A08 47A10)
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[147] MR4075017 Reviewed Ammar, Aymen; Bouchekoua, Ameni; Jeribi, Aref Some approximation results in a non-Archimedean Banach space. Funct. Anal. Approx. Comput. 12 (2020), no. 1, 33–50. 46S10 (47S10)
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[146] MR4064425 Reviewed Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel The condition pseudospectrum subset and related results. J. Pseudo-Differ. Oper. Appl. 11 (2020), no. 1, 491–504. 47A10 (47A53 47A55)
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[145] MR4061410 Pending Jeribi, Aref; Kaddachi, Najib; Krichen, Bilel Fixed-point theorems for multivalued operator matrix under weak topology with an application. Bull. Malays. Math. Sci. Soc. 43 (2020), no. 2, 1047–1067. 47H10 (47A08 47H08)
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[144] MR4061409 Reviewed Baloudi, Hatem; Belgacem, Sayda; Jeribi, Aref The discrete Laplacian acting on 2-forms and application. Bull. Malays. Math. Sci. Soc. 43 (2020), no. 2, 1025–1045. 47B25 (05C50 47A10)
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[143] MR4056881 Reviewed Benkhaled, Hedi; Elleuch, Asrar; Jeribi, Aref The class of order weakly demicompact operators. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 114 (2020), no. 2, Paper No. 76, 8 pp. (Reviewer: Bahri Turan) 47B60 (46B40 46B42)
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[142] MR4042955 Reviewed Jeribi, Aref; Krichen, Bilel; Mefteh, Bilel Existence of solutions for an infinite system of quadratic integral equations in the Banach algebra C(I,c0). Mediterr. J. Math. 17 (2020), no. 1, Art. 10, 17 pp. 45G15 (47H10)
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[141] MR4135953 Reviewed Ammar, Aymen; Boukettaya, Bilel; Jeribi, Aref Relationship between the left-right Jeribi essential spectra and the left-right Weyl essential spectra. Lib. Math. (N.S.) 39 (2019), no. 2, 13–26. 47A53 (47A55)
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[140] MR4056525 Reviewed Ammar, A.; Jeribi, A.; Saadaoui, B. On some classes of demicompact linear relation and some results of essential pseudospectra. Mat. Stud. 52 (2019), no. 2, 195–210. 47A06 (47A53 47A55)
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[139] MR4054395 Reviewed Fahem, Amor; Jeribi, Aref; Kaddachi, Najib Existence of solutions for a system of Chandrasekhar's equations in Banach algebras under weak topology. Filomat 33 (2019), no. 18, 5949–5957. 45G10 (47H08 58C30)
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[138] MR4049691 Reviewed Heraiz, Toufik; Ammar, Aymen; Jeribi, Aref Essential approximate point and essential defect spectrum of a sequence of linear operators in Banach spaces. Methods Funct. Anal. Topology 25 (2019), no. 4, 373–380. 47A10 (47A53)
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[137] MR4049621 Reviewed Ammar, Aymen; Jeribi, Aref; Zayed, Mayssa A characterization of -condition pseudospectrum of multivalued linear operators. Filomat 33 (2019), no. 15, 5037–5050. 47A06 (47A10)
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[136] MR4040380 Reviewed Ammar, Aymen; Bouchekoua, Ameni; Jeribi, Aref Pseudospectra in a non-Archimedean Banach space and essential pseudospectra in 𝔼ω. Filomat 33 (2019), no. 12, 3961–3975. (Reviewer: Natalia Saburova) 47A10 (32P05 46S10 47S10)
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[135] MR4036358 Reviewed Brahim, Fatma Ben; Jeribi, Aref; Krichen, Bilel Spectral theory for polynomially demicompact operators. Filomat 33 (2019), no. 7, 2017–2030. 47A53 (47A10 47A55)
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[134] MR4036264 Reviewed Brahim, Fatma Ben; Jeribi, Aref; Krichen, Bilel Essential pseudospectra involving demicompact and pseudodemicompact operators and some perturbation results. Filomat 33 (2019), no. 8, 2519–2528. 47A53 (47A10 47A55)
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[133] MR4025556 Reviewed Ellouz, Hanen; Feki, Ines; Jeribi, Aref On a Riesz basis of exponentials related to a family of analytic operators and application. J. Pseudo-Differ. Oper. Appl. 10 (2019), no. 4, 999–1014. (Reviewer: Michael I. Gilʹ) 46B15 (47A75 47B25)
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[132] MR4023074 Reviewed Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel Generalized trace pseudo-spectrum of matrix pencils. Cubo 21 (2019), no. 2, 65–76. (Reviewer: Natalia Saburova) 15A22 (15A18 65F15 65F40)
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[131] MR4010673 Reviewed Ammar, Aymen; Jeribi, Aref; Lazrag, Nawrez Sequence of linear operators in non-Archimedean Banach spaces. Mediterr. J. Math. 16 (2019), no. 5, Paper No. 130, 20 pp. (Reviewer: Horst Behncke) 47S10 (47A10 47A55)
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[130] MR3971447 Reviewed Ellouz, Hanen; Feki, Ines; Jeribi, Aref On the asymptotic behavior of the eigenvalues of an analytic operator in the sense of Kato and applications. Serdica Math. J. 45 (2019), no. 1, 55–88. 47A55 (15A42 65H17)
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[129] MR3956741 Reviewed Intissar, Abdelkader; Jeribi, Aref; Walha, Ines Riesz basis of exponential family for a hyperbolic system. J. Appl. Anal. 25 (2019), no. 1, 13–23. 15A42 (46A35 46B15 47A55 65F15 65H17)
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[128] MR3956257 Reviewed Jeribi, Aref; Krichen, Bilel; Zitouni, Ali Spectral properties for γ-diagonally dominant operator matrices using demicompactness classes and applications. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113 (2019), no. 3, 2391–2406. (Reviewer: Anuradha Gupta) 47A55 (47A53 47H08)
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[127] MR3949505 Reviewed Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel Browder essential approximate pseudospectrum and defect pseudospectrum on a Banach space. Extracta Math. 34 (2019), no. 1, 29–40. (Reviewer: Junjie Huang) 47A10 (47A53)
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[126] MR3935578 Reviewed Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel Measure of noncompactness, essential approximation and defect pseudospectrum. Methods Funct. Anal. Topology 25 (2019), no. 1, 1–11. (Reviewer: Asao Arai) 47A53 (47A10 47A25 54B35)
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[125] MR3922241 Reviewed Ellouz, Hanen; Feki, Ines; Jeribi, Aref Non-orthogonal fusion frames of an analytic operator and application to a one-dimensional wave control system. Mediterr. J. Math. 16 (2019), no. 2, Paper No. 52, 23 pp. 47A55 (47B38 47H14 47J10)
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[124] MR3918714 Reviewed Baloudi, Hatem; Golénia, Sylvain; Jeribi, Aref The adjacency matrix and the discrete Laplacian acting on forms. Math. Phys. Anal. Geom. 22 (2019), no. 1, Paper No. 9, 27 pp. 05C50 (47B25 58A10 81Q35)
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[123] MR3917326 Reviewed Ferjani, Imen; Jeribi, Aref; Krichen, Bilel Spectral properties involving generalized weakly demicompact operators. Mediterr. J. Math. 16 (2019), no. 2, Paper No. 30, 21 pp. (Reviewer: Vladimir Müller) 47A53 (47A10)
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[122] MR3900916 Reviewed Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel The essential approximate pseudospectrum and related results. Filomat 32 (2018), no. 6, 2139–2151. 47A10
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[121] MR3869542 Reviewed Ammar, Aymen; Jedidi, Omar; Jeribi, Aref Stability of some essential spectra of closed linear relations on Banach spaces. Afr. Mat. 29 (2018), no. 7-8, 987–993. (Reviewer: Michael Kaltenbäck) 47A06
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[120] MR3864786 Reviewed Ammar, Aymen; Bouzayeni, Faten; Jeribi, Aref Perturbation of unbounded linear operators by γ-relative boundedness. Ric. Mat. 67 (2018), no. 2, 433–445. (Reviewer: Ramesh V. Garimella) 47A05
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[119] MR3859841 Reviewed Brahim, Fatma Ben; Jeribi, Aref; Krichen, Bilel Polynomially demicompact operators and spectral theory for operator matrices involving demicompactness classes. Bull. Korean Math. Soc. 55 (2018), no. 5, 1351–1370. (Reviewer: V. M. Gorbachuk) 47A10 (47A55 47B44)
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[118] MR3846029 Reviewed Athmouni, Nassim; Baloudi, Hatem; Jeribi, Aref; Kacem, Ghazi On weighted and pseudo-weighted spectra of bounded operators. Commun. Korean Math. Soc. 33 (2018), no. 3, 809–821. (Reviewer: Anuradha Gupta) 47A53 (47A55)
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[117] MR3842202 Reviewed Ammar, Aymen; Jeribi, Aref; Saadaoui, Bilel A characterization of essential pseudospectra of the multivalued operator matrix. Anal. Math. Phys. 8 (2018), no. 3, 325–350. (Reviewer: Javier Pastor) 47A06
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[116] MR3833057 Reviewed Ben Brahim, Fatma; Jeribi, Aref; Krichen, Bilel Spectral properties for polynomial and matrix operators involving demicompactness classes. Extracta Math. 33 (2018), no. 1, 11–32. 47A53 (47A10)
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[115] MR3820140 Reviewed Jeribi, Aref; Krichen, Bilel; Salhi, Makrem Characterization of relatively demicompact operators by means of measures of noncompactness. J. Korean Math. Soc. 55 (2018), no. 4, 877–895. (Reviewer: Manuel González) 47A55 (47A53)
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[114] MR3812070 Reviewed Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel A characterization of the condition pseudospectrum on Banach space. Funct. Anal. Approx. Comput. 10 (2018), no. 2, 13–21. (Reviewer: Serguei I. Iaʹkovlev) 47A53 (47A10 47A55)
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[113] MR3793147 Reviewed Jeribi, Aref Linear operators and their essential pseudospectra. Apple Academic Press, Oakville, ON, 2018. xvi+352 pp. ISBN: 978-1-77188-699-4; 978-1-351-04627-5 (Reviewer: Vladimir Müller) 47-02 (47A10)
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[112] MR3791510 Reviewed Jeribi, Aref Denseness, bases and frames in Banach spaces and applications. De Gruyter, Berlin, 2018. xv+406 pp. ISBN: 978-3-11-048488-5; 978-3-11-049240-8 (Reviewer: R. A. Zalik) 46-02 (34L10 42C15 46A35 46B20 47-02)
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[111] MR3788800 Reviewed Benkhaled, Hedi; Elleuch, Asrar; Jeribi, Aref Demicompactness results for strongly continuous semigroups, generators and resolvents. Mediterr. J. Math. 15 (2018), no. 2, Paper No. 71, 19 pp. 47D06 (47A13)
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[110] MR3781550 Reviewed Jeribi, Aref; Kaddachi, Najib; Krichen, Bilel Existence results for a coupled system of perturbed functional differential inclusions in Banach algebras. Bull. Malays. Math. Sci. Soc. 41 (2018), no. 2, 893–918. (Reviewer: Hemant Kumar Pathak) 34A60 (47H09 47H10)
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[109] MR3770372 Reviewed Ammar, Aymen; Jeribi, Aref The essential pseudo-spectra of a sequence of linear operators. Complex Anal. Oper. Theory 12 (2018), no. 3, 835–848. (Reviewer: Matt McBride) 47A53 (39B42)
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[108] MR3766976 Reviewed Ammar, Aymen; Daoud, Houcem; Jeribi, Aref Demicompact and k-D-set-contractive multivalued linear operators. Mediterr. J. Math. 15 (2018), no. 2, Paper No. 41, 18 pp. (Reviewer: Ali Morassaei) 47A06
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[107] MR3749134 Reviewed Ammar, Aymen; Boukettaya, Bilel; Jeribi, Aref Essentially semi-regular linear relations. Facta Univ. Ser. Math. Inform. 32 (2017), no. 4, 421–434. (Reviewer: Florian Horia Vasilescu) 47A06 (47A53 47A55)
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[106] MR3690514 Reviewed Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel Global bifurcation from the real leading eigenvalue of the transport operator. J. Comput. Theor. Transp. 46 (2017), no. 4, 229–241. 92D25
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[105] MR3675539 Reviewed Jeribi, Aref; Kaddachi, Najib; Krichen, Bilel Existence results for a system of nonlinear integral equations in Banach algebras under weak topology. Fixed Point Theory 18 (2017), no. 1, 247–267. (Reviewer: Yusup Khalbaevich Eshkabilov) 45G15 (47H10)
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[104] MR3591291 Reviewed Ammar, Aymen; Jeribi, Aref; Saadaoui, Bilel Frobenius-Schur factorization for multivalued 2×2 matrices linear operator. Mediterr. J. Math. 14 (2017), no. 1, Paper No. 29, 29 pp. 47A06
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[103] MR3562481 Reviewed Ammar, Aymen; Fakhfakh, Slim; Jeribi, Aref Stability of the essential spectrum of the diagonally and off-diagonally dominant block matrix linear relations. J. Pseudo-Differ. Oper. Appl. 7 (2016), no. 4, 493–509. (Reviewer: Igorʹ V. Orlov) 47A06
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[102] MR3562480 Reviewed Ammar, Aymen; Daoud, Houcem; Jeribi, Aref The stability of pseudospectra and essential pseudospectra of linear relations. J. Pseudo-Differ. Oper. Appl. 7 (2016), no. 4, 473–491. (Reviewer: Igorʹ V. Orlov) 47A06 (47A10)
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[101] MR3506821 Reviewed Baloudi, Hatem; Jeribi, Aref Holomorphically Weyl-decomposably regular. Funct. Anal. Approx. Comput. 8 (2016), no. 2, 13–22. (Reviewer: Zhonghua He) 47A05 (35P05 35P20 35S05 47A53)
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[100] MR3503374 Reviewed Jeribi, Aref; Krichen, Bilel; Dhahri, Mohammed Zarai Essential spectra of some matrix operators involving γ-relatively bounded entries and an application. Linear Multilinear Algebra 64 (2016), no. 8, 1654–1668. 39B42 (47A10 47A53 47A55)
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[99] MR3503360 Reviewed Ammar, Aymen; Boukettaya, Bilel; Jeribi, Aref A note on the essential pseudospectra and application. Linear Multilinear Algebra 64 (2016), no. 8, 1474–1483. (Reviewer: Adrian Sandovici) 47A53 (47A13 47A55)
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[98] MR3469303 Reviewed Ben Amar, Afif; Feki, Ines; Jeribi, Aref Critical Krasnoselskii-Schaefer type fixed point theorems for weakly sequentially continuous mappings and application to a nonlinear integral equation. Fixed Point Theory 17 (2016), no. 1, 3–20. 47H10
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[97] MR3461484 Reviewed Jeribi, Aref; Krichen, Bilel; Mefteh, Bilel Fixed point theory in WC-Banach algebras. Turkish J. Math. 40 (2016), no. 2, 283–291. 47H10
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[96] MR3457037 Reviewed Chaker, Wajdi; Ghribi, Abdelaziz; Jeribi, Aref; Krichen, Bilel Fixed point theorems for (p,q)-quasi-contraction mappings in cone metric spaces. Chin. Ann. Math. Ser. B 37 (2016), no. 2, 211–220. 54H25 (47H09 47H10 54E40)
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[95] MR3444161 Reviewed Jeribi, Aref; Krichen, Bilel Nonlinear functional analysis in Banach spaces and Banach algebras. Fixed point theory under weak topology for nonlinear operators and block operator matrices with applications. Monographs and Research Notes in Mathematics. CRC Press, Boca Raton, FL, 2016. xvi+355 pp. ISBN: 978-1-4987-3388-5 (Reviewer: Wojciech Bartoszek) 47-02 (47H08 47H10 47N20 47N60)
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[94] MR3437755 Reviewed Elleuch, Asrar; Jeribi, Aref New description of the structured essential pseudospectra. Indag. Math. (N.S.) 27 (2016), no. 1, 368–382. 47A10
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[93] MR3437750 Reviewed Ammar, Aymen; Jeribi, Aref The Weyl essential spectrum of a sequence of linear operators in Banach spaces. Indag. Math. (N.S.) 27 (2016), no. 1, 282–295. 47A10
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[92] MR3437747 Reviewed Elleuch, Asrar; Jeribi, Aref On a characterization of the structured Wolf, Schechter and Browder essential pseudospectra. Indag. Math. (N.S.) 27 (2016), no. 1, 212–224. 47A55
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[91] MR3435032 Reviewed Ammar, Aymen; Diagana, Toka; Jeribi, Aref Perturbations of Fredholm linear relations in Banach spaces with application to 3×3-block matrices of linear relations. Arab J. Math. Sci. 22 (2016), no. 1, 59–76. 47A06
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[90] MR3440566 Reviewed Charfi, Salma; Elleuch, Asrar; Jeribi, Aref On the time asymptotic behavior of a transport operator with bounce-back boundary condition. Applied mathematics in Tunisia, 329–358, Springer Proc. Math. Stat., 131, Springer, Cham, 2015. 35F16 (35B40 35P05)
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[89] MR3440552 Reviewed Chaker, Wajdi; Ghribi, Abdelaziz; Jeribi, Aref; Krichen, Bilel Some fixed point theorems for orbitally-(p,q)-quasi-contraction mappings. Applied mathematics in Tunisia, 153–160, Springer Proc. Math. Stat., 131, Springer, Cham, 2015. 47H10
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[88] MR3430519 Reviewed Ammar, Aymen; Dhahri, Mohammed Zerai; Jeribi, Aref Stability of essential approximate point spectrum and essential defect spectrum of linear operator. Filomat 29 (2015), no. 9, 1983–1994. 47A55
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[87] MR3425419 Reviewed Ammar, Aymen; Dhahri, Mohammed Zerai; Jeribi, Aref Some properties of upper triangular 3×3-block matrices of linear relations. Boll. Unione Mat. Ital. 8 (2015), no. 3, 189–204. 47A06
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[86] MR3419665 Reviewed Abdmouleh, Faiçal; Ammar, Aymen; Jeribi, Aref A characterization of the pseudo-Browder essential spectra of linear operators and application to a transport equation. J. Comput. Theor. Transp. 44 (2015), no. 3, 141–153. 82C70
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[85] MR3416866 Reviewed Ammar, Aymen; Daoud, Houcem; Jeribi, Aref Pseudospectra and essential pseudospectra of multivalued linear relations. Mediterr. J. Math. 12 (2015), no. 4, 1377–1395. (Reviewer: Alexei Yu. Konstantinov) 47A06 (47A13 47A53)
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[84] MR3408559 Reviewed Jeribi, Aref Spectral theory and applications of linear operators and block operator matrices. Springer, Cham, 2015. xvi+599 pp. ISBN: 978-3-319-17565-2; 978-3-319-17566-9 (Reviewer: Robin Harte) 47-02 (47A10)
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[83] MR3395822 Reviewed Chaker, Wajdi; Jeribi, Aref; Krichen, Bilel Demicompact linear operators, essential spectrum and some perturbation results. Math. Nachr. 288 (2015), no. 13, 1476–1486. (Reviewer: Anuradha Gupta) 47A53

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[82] MR3386203 Reviewed Chaker, Wajdi; Ghribi, Abdelaziz; Jeribi, Aref; Krichen, Bilel Fixed point theorem for quasi-contractive mapping in partial cone metric space. Afr. Mat. 26 (2015), no. 5-6, 1153–1159. 47H10 (54A05)

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[81] MR3376828 Reviewed Abdmouleh, Faiçal; Àlvarez, Teresa; Ammar, Aymen; Jeribi, Aref Spectral mapping theorem for Rakocević and Schmoeger essential spectra of a multivalued linear operator. Mediterr. J. Math. 12 (2015), no. 3, 1019–1031. (Reviewer: Mohamed Chraibi Kaadoud) 47A06

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[80] MR3313252 Reviewed Ammar, Aymen; Dhahri, Mohammed Zerai; Jeribi, Aref Some properties of the M-essential spectra of closed linear operator on a Banach space. Funct. Anal. Approx. Comput. 7 (2015), no. 1, 15–28. (Reviewer: Vladimir Müller) 47A53 (47A10)

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[79] MR3306887 Reviewed Ammar, A.; Zerai Dhahri, M.; Jeribi, A. A characterization of S-essential spectrum by means of measure of non-strict-singularity and application. Azerb. J. Math. 5 (2015), no. 1, 73–88. 47A10

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[78] MR3299993 Reviewed Benharrat, Mohammed; Ammar, Aymen; Jeribi, Aref; Messirdi, Bekkai On the Kato, semi-regular and essentially semi-regular spectra. Funct. Anal. Approx. Comput. 6 (2014), no. 2, 9–22. 47A10

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[77] MR3271089 Reviewed Jeribi, Aref; Moalla, Nedra; Yengui, Sonia S-essential spectra and application to an example of transport operators. Math. Methods Appl. Sci. 37 (2014), no. 16, 2341–2353. (Reviewer: Vladimir Müller) 47A10 (47A13)

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[76] MR3260765 Reviewed Ammar, Aymen; Boukettaya, Bilel; Jeribi, Aref Stability of the S-left and S-right essential spectra of a linear operator. Acta Math. Sci. Ser. B (Engl. Ed.) 34 (2014), no. 6, 1922–1934. (Reviewer: Karl-Heinz Förster) 47A53 (47A10)

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[75] MR3248611 Indexed Ben Amar, Afif; Feki, Ines; Jeribi, Aref Leray-Schauder and Furi-Pera types fixed point theorems for the sum of two weakly sequentially continuous mappings and application to transport equation. Afr. Mat. 25 (2014), no. 3, 707–722. 47H10 (47H09)

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[74] MR3248605 Reviewed Chaker, Wajdi; Jeribi, Aref Common fixed point of single valued and multivalued mappings. Afr. Mat. 25 (2014), no. 3, 617–622. 47H10 (47H04 54H25)

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[73] MR3248142 Reviewed Ben Amar, Afif; Jeribi, Aref; Mnif, Maher Some results on Fredholm and semi-Fredholm perturbations. Arab. J. Math. (Springer) 3 (2014), no. 3, 313–323. 47A53 (47A55)

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[72] MR3246943 Reviewed Feki, Ines; Jeribi, Aref; Sfaxi, Ridha On a Riesz basis of eigenvectors of a nonself-adjoint analytic operator and applications. Linear Multilinear Algebra 62 (2014), no. 8, 1049–1068. 47A10 (46B15)

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[71] MR3235657 Reviewed Ben Amar, Afif; Jeribi, Aref; Moalla, Rihab Leray-Schauder alternatives in Banach algebra involving three operators with applications. Fixed Point Theory 15 (2014), no. 2, 359–372. 47B48 (47H10)

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[70] MR3233154 Reviewed Jeribi, Aref; Krichen, Bilel; Mefteh, Bilel Existence of solutions of a nonlinear Hammerstein integral equation. Numer. Funct. Anal. Optim. 35 (2014), no. 10, 1328–1339. (Reviewer: Ramendra Krishna Bose) 45G10 (47H30)

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[69] MR3232571 Reviewed Baloudi, Hatem; Jeribi, Aref Left-right Fredholm and Weyl spectra of the sum of two bounded operators and applications. Mediterr. J. Math. 11 (2014), no. 3, 939–953. (Reviewer: Fana Tangara) 47A53 (47A55)

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[68] MR3229414 Reviewed Álvarez, Teresa; Ammar, Aymen; Jeribi, Aref A characterization of some subsets of S-essential spectra of a multivalued linear operator. Colloq. Math. 135 (2014), no. 2, 171–186. (Reviewer: Rudi M. Brits) 47A06 (47A10 47H04)

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[67] MR3180625 Reviewed Álvarez, Teresa; Ammar, Aymen; Jeribi, Aref On the essential spectra of some matrix of linear relations. Math. Methods Appl. Sci. 37 (2014), no. 5, 620–644. (Reviewer: Slaviša V. Djordjević) 47A10 (47A06 47A53)

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[66] MR3174265 Reviewed Ben Amar, Afif; Jeribi, Aref; Krichen, Bilel Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg's model type. Math. Slovaca 64 (2014), no. 1, 155–174. 47H10

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[65] MR3167105 Reviewed Charfi, Salma; Jeribi, Aref; Moalla, Rihab Essential spectra of operator matrices and applications. Math. Methods Appl. Sci. 37 (2014), no. 4, 597–608. (Reviewer: Hassane Zguitti) 47A13 (43A15)

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[64] MR3164576 Reviewed Abdelmoumen, Boulbeba; Jedidi, Omar; Jeribi, Aref Time asymptotic description of an abstract Cauchy problem solution and application to transport equation. Appl. Math. 59 (2014), no. 1, 53–67. (Reviewer: Boyka L. Aneva) 82D75 (35B40 35F10 35R20)

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[63] MR3158645 Reviewed Ammar, Aymen; Jeribi, Aref Measures of noncompactness and essential pseudospectra on Banach space. Math. Methods Appl. Sci. 37 (2014), no. 3, 447–452. (Reviewer: Valeri Obukhovskiĭ) 47A25 (47A10 47H08)

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[62] MR3877107 Reviewed Jeribi, Aref; Krichen, Bilel; Mefteh, Bilel Existence of solutions of a two-dimensional boundary value problem for a system of nonlinear equations arising in growing cell populations. J. Biol. Dyn. 7 (2013), no. 1, 218–232. 92D25 (35Q92 35R09)

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[61] MR3175610 Reviewed Jeribi, Aref; Moalla, Rihab Nonlinear alternatives of Leray-Schauder type in Banach algebra involving four operators with application. Numer. Funct. Anal. Optim. 34 (2013), no. 10, 1097–1114. 47B48 (47H10)

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[60] MR3175387 Reviewed Charfi, Salma; Damergi, Alaeddine; Jeribi, Aref On a Riesz basis of finite-dimensional invariant subspaces and application to Gribov operator in Bargmann space. Linear Multilinear Algebra 61 (2013), no. 11, 1577–1591. (Reviewer: Quentin Menet) 47A16 (47A10)

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[59] MR3137023 Reviewed Ellouz, Hanen; Feki, Ines; Jeribi, Aref On a Riesz basis of exponentials related to the eigenvalues of an analytic operator and application to a non-selfadjoint problem deduced from a perturbation method for sound radiation. J. Math. Phys. 54 (2013), no. 11, 112101, 15 pp. 47A10 (42B10 81Q12 81Q15)

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[58] MR3135683 Reviewed Ammar, Aymen; Jeribi, Aref A characterization of the essential pseudospectra and application to a transport equation. Extracta Math. 28 (2013), no. 1, 95–112. (Reviewer: Alberto Manuel Tavares Simões) 47A53 (47A10 47A55)

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[57] MR3127434 Reviewed Amar, Afif Ben; Chouayekh, Soufiene; Jeribi, Aref Fixed point theory in a new class of Banach algebras and application. Afr. Mat. 24 (2013), no. 4, 705–724. (Reviewer: Kazimierz Włodarczyk) 47H10 (46H05 47H08)

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[56] MR3123601 Reviewed Feki, Ines; Jeribi, Aref; Sfaxi, Ridha On a Schauder basis related to the eigenvectors of a family of non-selfadjoint analytic operators and applications. Anal. Math. Phys. 3 (2013), no. 4, 311–331. 47A10 (46B15)

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[55] MR3055286 Reviewed Ammar, Aymen; Jeribi, Aref A characterization of the essential pseudospectra on a Banach space. Arab. J. Math. (Springer) 2 (2013), no. 2, 139–145. (Reviewer: Sophie Grivaux) 47A53 (47A13)

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[54] MR3044192 Reviewed Kaddachi, Najib; Jeribi, Aref; Krichen, Bilel Fixed point theorems of block operator matrices on Banach algebras and an application to functional integral equations. Math. Methods Appl. Sci. 36 (2013), no. 6, 659–673. 47H10 (45N05)

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[53] MR3037069 Reviewed Abdmouleh, Faiçal; Ammar, Aymen; Jeribi, Aref Stability of the S-essential spectra on a Banach space. Math. Slovaca 63 (2013), no. 2, 299–320. 47A10

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[52] MR3034938 Reviewed Ammar, Aymen; Jeribi, Aref; Moalla, Nedra A note on the spectra of a 3×3 operator matrix and application. Ann. Funct. Anal. 4 (2013), no. 2, 153–170. (Reviewer: Michael M. Neumann) 47A53 (47A10 47A55)

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[51] MR3016636 Reviewed Charfi, Salma; Jeribi, Aref; Moalla, Nedra Time asymptotic behavior of the solution of an abstract Cauchy problem given by a one-velocity transport operator with Maxwell boundary condition. Collect. Math. 64 (2013), no. 1, 97–109. 35F15 (35B40)

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[50] MR3000664 Reviewed Abdelmoumen, Boulbeba; Jeribi, Aref; Mnif, Maher Measure of weak noncompactness, some new properties in Fredholm theory, characterization of the Schechter essential spectrum and application to transport operators. Ric. Mat. 61 (2012), no. 2, 321–340. (Reviewer: Casey Timothy Cremins) 47H07 (46B20 47H08 82D75)

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[49] MR2960769 Reviewed Abdelmoumen, Boulbeba; Jeribi, Aref; Mnif, Maher On graph measures in Banach spaces and description of essential spectra of multidimensional transport equation. Acta Math. Sci. Ser. B (Engl. Ed.) 32 (2012), no. 5, 2050–2064. (Reviewer: Małgorzata Peszyńska) 47A10 (45K05 47A53)

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[48] MR2834867  Reviewed Abdmouleh, Faiçal; Charfi, Salma; Jeribi, Aref On a characterization of the essential spectra of the sum and the product of two operators. J. Math. Anal. Appl. 386 (2012), no. 1, 83–90. (Reviewer: Doru Păunescu) 47A10 (47A13 47A53)

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[47] MR2908391  Reviewed Abdelmoumen, Boulbeba; Jeribi, Aref; Mnif, Maher Invariance of the Schechter essential spectrum under polynomially compact operators perturbation. Extracta Math. 26 (2011), no. 1, 61–73. 47A55 (47A10)

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[46] MR2818733 Reviewed Abdelmoumen, Boulbeba; Jeribi, Aref; Mnif, Maher Time asymptotic description of the solution to an abstract Cauchy problem and application to transport equation. Math. Z. 268 (2011), no. 3-4, 837–869. 35R20 (34G10 47D06 82C70)

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[45] MR2790878  Reviewed Abdmouleh, Faiçal; Jeribi, Aref Gustafson, Weidman, Kato, Wolf, Schechter, Browder, Rakočević and Schmoeger essential spectra of the sum of two bounded operators and application to a transport operator. Math. Nachr. 284 (2011), no. 2-3, 166–176. 47A10 (47A53 47G20 47N50)

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[1] MR2780919  Reviewed Charfi, Salma; Jeribi, Aref; Walha, Ines Riesz basis property of families of nonharmonic exponentials and application to a problem of a radiation of a vibrating structure in a light fluid. Numer. Funct. Anal. Optim. 32 (2011), no. 4, 370–382. (Reviewer: Mark A. Nudelʹman) 47A55 (47E05 47G10 74H45 74K15 76B15)

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[44] MR2752669  Reviewed Jeribi, Aref; Walha, Ines Gustafson, Weidmann, Kato, Wolf, Schechter and Browder essential spectra of some matrix operator and application to two-group transport equation. Math. Nachr. 284 (2011), no. 1, 67–86. 47A10 (15A18 47N50)

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[43] MR2735710  Reviewed Feki, Ines; Jeribi, Aref; Sfaxi, Ridha On an unconditional basis of generalized eigenvectors of an analytic operator and application to a problem of radiation of a vibrating structure in a light fluid. J. Math. Anal. Appl. 375 (2011), no. 1, 261–269. 47A55 (35P05 35P15 47A10 47E05 74F10 76Q05)

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[42] MR2730491  Reviewed Ben Ali, Naouel; Jeribi, Aref; Moalla, Nedra On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator. Math. Nachr. 283 (2010), no. 9, 1245–1256. 47A10 (47A53 47G20 47N50)

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[41] MR2677886  Reviewed Ben Amar, Afif; Jeribi, Aref; Krichen, Bilel Essential spectra of a 3×3 operator matrix and an application to three-group transport equations. Integral Equations Operator Theory 68 (2010), no. 1, 1–21. 47A10 (39A70 47N50 82C70)

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[40] MR2674112  Reviewed Ben Amar, Afif; Chouayekh, Soufiene; Jeribi, Aref New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations. J. Funct. Anal. 259 (2010), no. 9, 2215–2237. (Reviewer: Gabriela Petruşel) 47H10 (46H05 47N20 54H25)

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[39] MR2661748  Reviewed Charfi, Salma; Jeribi, Aref; Walha, Ines Essential spectra, matrix operator and applications. Acta Appl. Math. 111 (2010), no. 3, 319–337. 47A05 (47A10 47A53 47N20)

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[38] MR2601665  Reviewed Ben Amar, Afif; Jeribi, Aref; Mnif, Maher Some applications of the regularity and irreducibility on transport theory. Acta Appl. Math. 110 (2010), no. 1, 431–448. 35F10 (35P05 47D06 47G20 47N50 82C70)

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[37] MR2576193  Reviewed Abdmouleh, Faiçal; Jeribi, Aref Symmetric family of Fredholm operators of indices zero, stability of essential spectra and application to transport operators. J. Math. Anal. Appl. 364 (2010), no. 2, 414–423. (Reviewer: Constantin Buşe) 45P05 (47A53 47N20 47N50 82C70)

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[35] MR2589634  Reviewed Charfi, Salma; Intissar, Abdelkader; Jeribi, Aref Expansion of solution in terms of generalized eigenvectors for a rectilinear transport equation. Transport Theory Statist. Phys. 38 (2009), no. 6, 330–345. (Reviewer: Luisa Arlotti) 82C70 (47D06 47N50)

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[34] MR2532520  Reviewed Jeribi, Aref; Moalla, Nedra A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation. J. Math. Anal. Appl. 358 (2009), no. 2, 434–444. (Reviewer: Meri Lisi) 47B40 (35F05 35P05 47N20 82C70)

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[33] MR2511750  Reviewed Charfi, Salma; Jeribi, Aref On a characterization of the essential spectra of some matrix operators and application to two-group transport operators. Math. Z. 262 (2009), no. 4, 775–794. (Reviewer: Ming Zhu Yang) 47G10 (47A10 47N50 82C70)

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[32] MR2472944  Reviewed Jeribi, Aref; Moalla, Nedra; Walha, Ines Spectra of some block operator matrices and application to transport operators. J. Math. Anal. Appl. 351 (2009), no. 1, 315–325. (Reviewer: Matthias Langer) 47A10 (15A18 47G20 47N50)

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[31] MR2395536  Reviewed Abdelmoumen, Boulbeba; Dehici, Abdelkader; Jeribi, Aref; Mnif, Maher Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory. J. Inequal. Appl. 2008, Art. ID 852676, 14 pp. (Reviewer: Ming Zhu Yang) 47A53 (47A10 47N20 47N55 82C70)

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[30] MR2387835  Reviewed Ben Amar, Afif; Jeribi, Aref; Mnif, Maher Some fixed point theorems and application to biological model. Numer. Funct. Anal. Optim. 29 (2008), no. 1-2, 1–23. 35F25 (34K30 47H10 47N20 47N55)

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[29] MR2338386  Reviewed Jeribi, Aref; Ould Ahmed Mahmoud, Sid Ahmed; Sfaxi, Ridha Time asymptotic behaviour for a one-velocity transport operator with Maxwell boundary condition. Acta Appl. Math. 98 (2007), no. 3, 163–179. (Reviewer: Edward W. Larsen) 82C70 (35B40 35F05 47D06 47N20 47N55 82D75)

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[28] MR2278425  Reviewed Damak, Mondher; Jeribi, Aref On the essential spectra of matrix operators and applications. Electron. J. Differential Equations 2007, No. 11, 16 pp. (Reviewer: Matthias Langer) 47A10 (47A53 47E05)

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[27] MR2263471  Reviewed Dehici, Abdelkader; Jeribi, Aref; Latrach, Khalid Spectral analysis of a transport operator arising in growing cell populations. Acta Appl. Math. 92 (2006), no. 1, 37–62. (Reviewer: Beatrice Pelloni) 35P05 (35F15 47G20 47N20 92C37)

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[26] MR2260165  Reviewed Moalla, Nedra; Damak, Mondher; Jeribi, Aref Essential spectra of some matrix operators and application to two-group transport operators with general boundary conditions. J. Math. Anal. Appl. 323 (2006), no. 2, 1071–1090. (Reviewer: Matthias Langer) 47A10 (47A53 47G20 47N55)

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[25] MR2248744  Reviewed Jeribi, Aref; Moalla, Nedra Fredholm operators and Riesz theory for polynomially compact operators. Acta Appl. Math. 90 (2006), no. 3, 227–245. (Reviewer: Hans-Olav Tylli) 47A53 (47A10 47B06 47B07)

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[24] MR2230458  Reviewed Ben Ali, Naouel; Jeribi, Aref On the Riesz basis of a family of analytic operators in the sense of Kato and application to the problem of radiation of a vibrating structure in a light fluid. J. Math. Anal. Appl. 320 (2006), no. 1, 78–94. (Reviewer: Alexander M. Gomilko) 47A70 (35Q35 47A56 47B25 47F05)

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[23] MR2220202  Reviewed Jeribi, Aref; Mnif, Maher Fredholm operators, essential spectra and application to transport equations. Acta Appl. Math. 89 (2005), no. 1-3, 155–176 (2006). (Reviewer: Silvia Totaro) 47A53 (47A55 47G20 47N20 47N55 82C70)

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[22] MR2182187  Reviewed Jeribi, Aref; Latrach, Khalid; Megdiche, Hatem Time asymptotic behavior of the solution to a Cauchy problem governed by a transport operator. J. Integral Equations Appl. 17 (2005), no. 2, 121–139. (Reviewer: Min He) 35F10 (35B30 35B40 47D06 47G20 47N55)

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[21] MR2167563  Reviewed Ben Amar, Afif; Jeribi, Aref; Mnif, Maher On a generalization of the Schauder and Krasnoselʹskii fixed points theorems on Dunford-Pettis spaces and applications. Math. Methods Appl. Sci. 28 (2005), no. 14, 1737–1756. (Reviewer: Silvia Totaro) 47H10 (35R10 47N55 82C70 92D25)

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[20] MR2110261 Indexed Jeribi, Aref; Megdiche, Hatem; Moalla, Nedra On a transport operator arising in growing cell populations. II. Cauchy problem. Math. Methods Appl. Sci. 28 (2005), no. 2, 121–145. 35R10 (35F15 47D06 47N20 47N60 82C70 92C37 92D25)

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[19] MR2105266  Reviewed Jeribi, Aref Fredholm operators and essential spectra. Arch. Inequal. Appl. 2 (2004), no. 2-3, 123–140. (Reviewer: Harro Heuser) 47A53 (45B05 47A10 47A55 47N20 47N55)

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[18] MR2050211  Reviewed Jeribi, Aref; Intissar, Abdelkader On an Riesz basis of generalized eigenvectors of the nonselfadjoint problem deduced from a perturbation method for sound radiation by a vibrating plate in a light fluid. J. Math. Anal. Appl. 292 (2004), no. 1, 1–16. (Reviewer: Victor S. Rykhlov) 47G20 (34L10 47E05 74H45)

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[17] MR1978556  Reviewed Jeribi, Aref Time asymptotic behaviour for unbounded linear operator arising in growing cell populations. Nonlinear Anal. Real World Appl. 4 (2003), no. 5, 667–688. (Reviewer: Hassan Emamirad) 47G20 (35B40 35R10 47N20 92D25)

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[16] MR2033587 Indexed Dehici, Abdelkader; Latrach, Khalid; Jeribi, Aref On a transport operator arising in growing cell populations. Spectral analysis. Advances in mathematics research, Vol. 1, 159–185, Adv. Math. Res., 1, Nova Sci. Publ., Hauppauge, NY, 2002. 35R10 (47G20 47N60 92C37 92D25)

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[15] MR2016753  Reviewed Jeribi, Aref On the Schechter essential spectrum on Banach spaces and application. Facta Univ. Ser. Math. Inform. No. 17 (2002), 35–55. (Reviewer: Lawrence R. Williams) 47A10 (47A53 47B07)

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[14] MR1941950  Reviewed Jeribi, Aref A nonlinear problem arising in the theory of growing cell populations. Nonlinear Anal. Real World Appl. 3 (2002), no. 1, 85–105. (Reviewer: Mohamed Boulanouar) 45K05 (47N20 92D20)

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[13] MR1941781  Reviewed Jeribi, Aref Some remarks on the Schechter essential spectrum and applications to transport equations. J. Math. Anal. Appl. 275 (2002), no. 1, 222–237. (Reviewer: Ming Zhu Yang) 82C70 (47A10 47G20 47N55)

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[12] MR1934382  Reviewed Jeribi, Aref A characterization of the essential spectrum and applications. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 5 (2002), no. 3, 805–825. (Reviewer: Mohamed Boulanouar) 47A10 (82C70)

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[11] MR1923639  Reviewed Jeribi, Aref A characterization of the Schechter essential spectrum on Banach spaces and applications. J. Math. Anal. Appl. 271 (2002), no. 2, 343–358. (Reviewer: Ming Zhu Yang) 47A10 (35P05 47N55)

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[10] MR1794092  Reviewed Jeribi, Aref Une nouvelle caractérisation du spectre essentiel et application. (French) [A new characterization of the essential spectrum and application] C. R. Acad. Sci. Paris Sér. I Math. 331 (2000), no. 7, 525–530. (Reviewer: Gerhard Garske) 47A10 (46E30 47A55)

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[9] MR1769950  Reviewed Jeribi, Aref Un problème non linéaire intervenant en dynamique des populations. (French) [A nonlinear problem arising in growing cell populations] C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 9, 795–800. (Reviewer: Hassan Emamirad) 92D25 (35Q80 45K05)

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[8] MR1682848  Reviewed Latrach, Khalid; Jeribi, Aref A nonlinear boundary value problem arising in growing cell populations. Nonlinear Anal. 36 (1999), no. 7, Ser. A: Theory Methods, 843–862. (Reviewer: Giuliana Lauro) 92C37 (35Q80 45K05 92D25)

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[7] MR1669226  Reviewed Aimar, Marie-Thérèse; Intissar, Abdelkader; Jeribi, Aref On an unconditional basis of generalized eigenvectors of the nonself-adjoint Gribov operator in Bargmann space. J. Math. Anal. Appl. 231 (1999), no. 2, 588–602. (Reviewer: V. D. Koshmanenko) 47B25 (47A70 47N50 81Q10 81S05)

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[6] MR1652578  Reviewed Jeribi, Aref Quelques remarques sur le spectre de Weyl et applications. (French) [Some remarks on the Weyl spectrum and applications] C. R. Acad. Sci. Paris Sér. I Math. 327 (1998), no. 5, 485–490. (Reviewer: Hassan Emamirad) 47A10 (45J05 47G20 47N55 82C70)

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[5] MR1644272  Reviewed Latrach, Khalid; Jeribi, Aref Some results on Fredholm operators, essential spectra, and application. J. Math. Anal. Appl. 225 (1998), no. 2, 461–485. 47A53 (45K05 47A10 47N20 47N55 82C70)

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[4] MR1614016  Reviewed Latrach, Khalid; Jeribi, Aref Sur une équation de transport intervenant en dynamique des populations. (French) [On a transport equation arising in growing cell populations] C. R. Acad. Sci. Paris Sér. I Math. 325 (1997), no. 10, 1087–1090. (Reviewer: Atsushi Yagi) 35Q80 (45K05 47N60 92D25)

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[3] MR1461395  Reviewed Jeribi, Aref Quelques remarques sur les opérateurs de Fredholm et application à l'équation de transport. (French) [Some remarks on Fredholm operators and application to the transport equation] C. R. Acad. Sci. Paris Sér. I Math. 325 (1997), no. 1, 43–48. (Reviewer: Hassan Emamirad) 47A53 (47G20 47N55 82C70)

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[2] MR1419181  Reviewed Latrach, Khalid; Jeribi, Aref On the essential spectrum of transport operators on L1-spaces. J. Math. Phys. 37 (1996), no. 12, 6486–6494. (Reviewer: Hassan Emamirad) 47G20 (47A10 47N55 82C70)

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[1] MR1408978  Reviewed Jeribi, Aref; Latrach, Khalid Quelques remarques sur le spectre essentiel et application à l'équation de transport. (French) [Some remarks on the essential spectrum and application to the transport equation] C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), no. 5, 469–474. (Reviewer: V. Protopopescu) 47N55 (45N05 47G20 82C70)

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Research Papers Which Cite Me in the Title

 
[1] MR3827586 Belabbaci, Chafika. Jeribi essential spectrum. Lib. Math. (N.S.) 37 (2017), no. 1, 65--73. 
 
[2] MR4135953 Ammar, Aymen; Boukettaya, Bilel; Jeribi, Aref. Relationship between the left-right Jeribi essential spectra and the left-right Weyl essential spectra. Lib. Math. (N.S.) 39 (2019), no. 2, 13--26. 
 
[3] MR4237050 Belabbaci, C. The S-Jeribi essential spectrum. Ukraïn. Mat. Zh. 73 (2021), no. 3, 308--313.  
 
[4] A. Jeribi, Chapter 9: Analytic operators in Feki-Jeribi-Sfaxi's sense. Springer-Verlag, (ISBN 978-981-16-2527-5), Singapore (2021).
 
[5] Moalla, Nedra and Selmi, Wafa. On a characterization of Jeribi, Rako ̆cević, Schechter, Schmoeger and Wolf essential spectra of a 3 × 3 block operator matrices with non diagonal domain and application. Operators and Matrices (2023).
 
Encadrements

Aref Jeribi 

 

MathSciNet


Ph.D. Université de Corse Pascal Paoli 1998 France
Dissertation: Développement de certaines propriétés fines de la théorie spectrale et applications à des modèles monocinétiques et à des modèles de Reggeons
Mathematics Subject Classification: 46—Functional analysis

Advisor: Abdelkader Intissar

Students: 
Click here to see the students ordered by family name.

Name School Year Descendants
Moalla, Nedra University of Sfax 2006 3
Ben Amar, Afif University of Sfax 2007  
Abdmouleh, Faiçal University of Sfax 2009  
Abdelmoumen, Boulbeba University of Sfax 2010  
Charfi, Salma University of Sfax 2010 1
Walha, Ines University of Sfax 2010  
Ben Ali, Naouel University of Sfax 2011  
Feki, Ines University of Sfax 2011  
Krichen, Bilel University of Sfax 2011 4
Chammam, Wathek University of Sfax 2012  
Chouayekh, Soufiene University of Sfax 2012  
Yengui, Sonia University of Sfax 2012  
Aloui, Baghdadi University of Sfax 2013  
Ammar, Aymen University of Sfax 2013  
Jedidi, Omar University of Sfax 2013  
Damergi, Alaeddine University of Sfax 2014  
Mefteh, Bilel University of Sfax 2014  
Moalla, Rihab University of Sfax 2014  
Chaker, Wajdi Université Tunis-El Manar 2015  
Dhahri, Mohamed Zerai University of Sfax 2015  
Kaddachi, Najib University of Sfax 2015  
Baloudi, Hatem University of Sfax 2016  
Elleuch, Asrar University of Sfax 2016  
Ellouz, Hanen University of Sfax 2016  
Boukettaya, Bilel University of Sfax 2017  
Daoud, Houcem University of Sfax 2017  
Mahfoudhi, Kamel Université Tunis-El Manar 2018  
Saadaoui, Bilel University of Sfax 2018  
Salhi, Makrem University of Sfax 2018  
Bouzayeni, Faten Université Tunis-El Manar 2019  
Fakhfakh, Slim University of Sfax 2019  
Zayed, Mayssa University of Sfax 2019  
Ben Brahim, Fatma University of Sfax 2020  
Benkhaled, Hedi University of Sfax 2020  
Zitouni, Ali University of Sfax 2020  
Belgacem, Saida University of Sfax 2021  
Bouchekoua, Ameni University of Sfax 2021  
Fahem, Amor University of Sfax 2021  
Ben Amara, Khaled University of Sfax 2022  
Chelly, Slim University of Sfax 2022  

According to our current on-line database, Aref Jeribi has 40 students and 48 descendants
We welcome any additional information.

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