Demicompact linear operators, essential spectrum and some perturbation results

被引：36

作者：

Chaker, Wajdi ^{[1
]}

Jeribi, Aref ^{[1
]}

Krichen, Bilel ^{[1
]}

机构：

[1] Univ Sfax, Dept Math, Fac Sci Sfax, Lab Phys Math, Sfax 3000, Tunisia

来源：

MATHEMATISCHE NACHRICHTEN | 2015年 / 288卷 / 13期

关键词：

Demicompact linear operator; essential spectrum; Fredholm and semi-Fredholm operators; TRANSPORT OPERATORS; FREDHOLM OPERATORS; EQUATIONS; MAPPINGS; SPACES;

D O I：

10.1002/mana.201200007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present some results on Fredholm and upper semi-Fredholm operators involving demicompact operators. Our results generalize many known ones in the literature, in particular those obtained by Petryshyn in [27] and Jeribi et al. in [1], [22]. They are used to establish a fine description of the Schechter essential spectrum of closed densely defined operators, and to investigate the essential spectrum of the sum of two bounded linear operators defined on a Banach space by means of the essential spectrum of each of the two operators. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1476 / 1486

页数：11

共 33 条

[1] Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory [J].

Abdelmoumen, Boulbeba ;

Dehici, Abdelkader ;

Jeribi, Aref ;

Mnif, Maher .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)

[2]

AMAR AB, 2014, ARAB J MATH, V3, P313

[3]

[Anonymous], 1977, American Mathematical Soc.

[4]

ARTSTEIN Z, 1977, T AM MATH SOC, V231, P143

[5]

Astala K., 1980, ANN ACAD SCI FENN A, V1-42

[6]

Diestel J., 1975, GEOMETRY BANACH SPEC

[7]

Dunford N., 1958, Pure and Applied Mathematics, V7

[8]

Edmunds D.E., 1987, SPECTRAL THEORY DIFF

[9]

Gohberg I. C., 1960, B AKAD STIINCE RSS M, V1960, P51

[10]

Goldberg S., 2006, Unbounded linear operators: Theory and applications

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