Generalized essential spectra involving the class of g-g-Riesz operators-Reference-Cited by-同舟云学术

Generalized essential spectra involving the class of g-g-Riesz operators

Published:2024-01-30 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Ferjani Imen¹,Kchaou Omaima¹,Krichen Bilel¹^ORCID

Affiliation:

1. Department of Mathematics , [ 37967]University of Sfax, Faculty of Sciences of Sfax, Road of Soukra Km 3.5, B.P. 1171, 3000 , Sfax , Tunisia

Abstract

Abstract In this paper, we explore the spectral properties of unbounded generalized Fredholm operators acting on a non-reflexive Banach space X. The results are formulated in terms of some topological conditions made on X or on its dual X *

{X^{*}}

. In addition, we introduce the concept of the so-called g-g-Riesz linear operators as an extension of Riesz operators. The obtained results are used to discuss the incidence of the behavior of generalized essential spectra. Furthermore, a relation between the generalized essential spectrum and the left (resp. the right) essential spectrum by means of g-Riesz perturbation is provided.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2002/pdf

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