The stability of pseudospectra and essential pseudospectra of linear relations

被引：10

作者：

Ammar, Aymen ^{[1
]}

Daoud, Houcem ^{[1
]}

Jeribi, Aref ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Soukra Rd Km 3-5,BP 1171, Sfax 3000, Tunisia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2016年 / 7卷 / 04期

关键词：

Linear relation; Pseudospectra and Essential pseudospectra; OPERATORS;

D O I：

10.1007/s11868-016-0150-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is continuation of paper Ammar et al. (Mediterr J Math 12(4):1377-1395, 2015). It gives some new results related to the pseudospectra and the essential pseudospectra of linear relations. We start by studying the stability of these pseudospectra and some characterization.

引用

页码：473 / 491

页数：19

共 18 条

[1] Abdmouleh F., 2015, PREPRINT
[2] Abdmouleh F, 2015, TRANSPORT THEOR STAT, V44, P141, DOI DOI 10.1080/23324309.2015.1033222
[3] On almost semi-fredholm linear relations in normed spaces
Alvarez, T.
[J]. GLASGOW MATHEMATICAL JOURNAL, 2005, 47 : 187 - 193
[4] Multivalued Fredholm type operators with abstract generalised inverses
Alvarez, T
Cross, RW
Wilcox, D
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 261 (01) : 403 - 417
[5] On the essential spectra of some matrix of linear relations
Alvarez, Teresa
Ammar, Aymen
Jeribi, Aref
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (05) : 620 - 644
[6] LINEAR RELATIONS ON HEREDITARILY INDECOMPOSABLE NORMED SPACES (vol 74, pg 289, 2006)
Alvarez, Teresa
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2011, 84 (01) : 49 - 52
[7] Ammar A., 2013, EXTRACTA MATH, V28, P95
[8] A note on the essential pseudospectra and application
Ammar, Aymen
Boukettaya, Bilel
Jeribi, Aref
[J]. LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (08) : 1474 - 1483
[9] A characterization of the essential pseudospectra on a Banach space
Ammar, Aymen
Jeribi, Aref
[J]. ARABIAN JOURNAL OF MATHEMATICS, 2013, 2 (02) : 139 - 145
[10] Pseudospectra and Essential Pseudospectra of Multivalued Linear Relations
Ammar, Aymen
Daoud, Houcem
Jeribi, Aref
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (04) : 1377 - 1395

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