Weak demicompactness involving measures of weak noncompactness and invariance of the essential spectrum-Reference-Cited by-同舟云学术

Weak demicompactness involving measures of weak noncompactness and invariance of the essential spectrum

Published:2022 Issue:9 Volume:36 Page:3051-3073
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Jeribi Aref¹,Krichen Bilel¹,Salhi Makrem¹

Affiliation:

1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax, Tunisia

Abstract

In this paper, we show that an unbounded weakly S0-demicompact linear operator T, introduced in [18], acting on a Banach space, can be characterized by some measures of weak noncompactness. Moreover, our results are illustrated to discuss the relationship with Fredholm and upper semi-Fredholm operators as well as the stability of the essential spectrum of T.

Publisher

National Library of Serbia

Subject

General Mathematics

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