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Relative essential spectra involving relative demicompact unbounded linear operators

Authors
  • KRICHEN, Bilel1
  • 1 Department of Mathematics
Type
Published Article
Journal
Acta Mathematica Scientia
Publication Date
Jan 01, 2014
Volume
34
Issue
2
Pages
546–556
Identifiers
DOI: 10.1016/S0252-9602(14)60027-8
Source
Elsevier
Keywords
License
Unknown

Abstract

In this article, we introduce the concept of demicompactness with respect to a closed densely defined linear operator, as a generalization of the class of demicompact operator introduced by Petryshyn in [24] and we establish some new results in Fredholm theory. Moreover, we apply the obtained results to discuss the incidence of some perturbation results on the behavior of relative essential spectra of unbounded linear operators acting on Banach spaces. We conclude by characterizations of the relative Schechter's and approximate essential spectrum.

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