Spectral Theory for Polynomially Demicompact Operators

被引：2

作者：

Ben Brahim, Fatma ^{[1
]}

Jeribi, Aref ^{[1
]}

Krichen, Bilel ^{[1
]}

机构：

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

来源：

FILOMAT | 2019年 / 33卷 / 07期

关键词：

Demicompact linear operator; Fredholm and semi-Fredholm operators; Perturbation theory; Essential spectra; Caputo derivative;

D O I：

10.2298/FIL1907017B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce the notion of polynomial demicompactness and we use it to give some results on Fredholm operators and to establish a fine description of some essential spectra of a closed densely defined linear operator. Our work is a generalization of many known ones in the literature.

引用

页码：2017 / 2030

页数：14

共 18 条

[1]

Abdelmoumen B., 2011, EXTRACTA MATH, P61

[2] STABILITY OF THE S-LEFT AND S-RIGHT ESSENTIAL SPECTRA OF A LINEAR OPERATOR [J].