A CHARACTERIZATION OF SCHECHTER'S ESSENTIAL SPECTRUM BY MEAN OF MEASURE OF NON-STRICT-SINGULARITY AND APPLICATION TO MATRIX OPERATOR

被引：9

作者：

Moalla, Nedra ^{[1
]}

机构：

[1] Univ Sfax, Dept Math, Fac Sci Sfax, Sfax 3018, Tunisia

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 06期

关键词：

measure of non-strict-singularity; Fredholm operator; Schechter essential spectrum; matrix operator; FREDHOLM OPERATORS;

D O I：

10.1016/S0252-9602(12)60183-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we use the notion of measure of non-strict-singularity to give some results on Predholm operators and we establish a fine description of the Schechter essential spectrum of a closed densely defined linear operator.

引用

页码：2329 / 2340

页数：12

共 18 条

[1] A CHARACTERIZATION OF SCHECHTER'S ESSENTIAL SPECTRUM BY MEAN OF MEASURE OF NON-STRICT-SINGULARITY AND APPLICATION TO MATRIX OPERATOR
Nedra Moalla
ActaMathematicaScientia, 2012, 32 (06) : 2329 - 2340
[2] A Characterization of S-Essential Spectrum by Means of Measure of Non-Strict-Singularity and Application
Ammar, A.
Dhahri, M. Zerai
Jeribi, A.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2015, 5 (01): : 73 - 88
[3] Stability of Schechter essential spectrum of 2 x 2 block operator matrix by means of measure of non strict singularity and application
Moalla, Nedra
Walha, Ines
INDAGATIONES MATHEMATICAE-NEW SERIES, 2017, 28 (06): : 1275 - 1287
[4] MEASURE OF NON STRICT SINGULARITY OF SCHECHTER ESSENTIAL SPECTRUM OF TWO BOUNDED OPERATORS AND APPLICATION
Abdmouleh, F.
Walha, I.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (05) : 1543 - 1558
[5] On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator
Ben Ali, Naouel
Jeribi, Aref
Moalla, Nedra
MATHEMATISCHE NACHRICHTEN, 2010, 283 (09) : 1245 - 1256
[6] Generalized weak demicompactness involving measure of non-strict-singularity
Imen Ferjani
Aref Jeribi
Bilel Krichen
Indian Journal of Pure and Applied Mathematics, 2021, 52 : 529 - 541
[7] Generalized weak demicompactness involving measure of non-strict-singularity
Ferjani, Imen
Jeribi, Aref
Krichen, Bilel
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021, 52 (02): : 529 - 541
[8] ON THE MEASURE OF NON STRICT COSINGULARITY AND THE THEORY OF OPERATOR MATRIX
Bouida, Naila
Walha, Ines
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 39 (04): : 875 - 895
[9] A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation
Jeribi, Aref
Moalla, Nedra
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 358 (02) : 434 - 444
[10] Characterization and stability of the essential spectrum based on measures of polynomially non-strict singularity operators
Abdmouleh, Faical
Walha, Ines
INDAGATIONES MATHEMATICAE-NEW SERIES, 2015, 26 (03): : 455 - 467

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