Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators

<!--[if !mso]> <mce:style><! v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} --> <!--[endif] --> <p>This paper is devoted to the investigation of the stability of the Weyl ess...

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Main Authors: Leila Mebarki, Mohammed Benharrat, Bekkai Messirdi
Format: Article
Language:English
Published: Etamaths Publishing 2015-11-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/600
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author Leila Mebarki
Mohammed Benharrat
Bekkai Messirdi
author_facet Leila Mebarki
Mohammed Benharrat
Bekkai Messirdi
author_sort Leila Mebarki
collection DOAJ
description <!--[if !mso]> <mce:style><! v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} --> <!--[endif] --> <p>This paper is devoted to the investigation of the stability of the Weyl essential spectrum of closed densely dened linear operator A subjected to additive perturbation K such that (lambda-A-K)^{-1}K or K(lambda-A-K)^{-1} is a quasi-compact operator. The obtained results are used to describe the Weyl essential spectrum of singular neutron transport operator.</p>
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spelling doaj.art-2d5c56afc81f4af09d0107a5eb9e7fae2022-12-22T00:02:26ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392015-11-01928389146Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport OperatorsLeila Mebarki0Mohammed Benharrat1Bekkai Messirdi2University of Oran1, Laboratory of Pure and Applied Mathematics of OranNational Polytechnic school of Oran, Laboratory of Pure and Applied Mathematics of OranUniversity of Oran 1, Laboratory of Pure and Applied Mathematics of Oran<!--[if !mso]> <mce:style><! v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} --> <!--[endif] --> <p>This paper is devoted to the investigation of the stability of the Weyl essential spectrum of closed densely dened linear operator A subjected to additive perturbation K such that (lambda-A-K)^{-1}K or K(lambda-A-K)^{-1} is a quasi-compact operator. The obtained results are used to describe the Weyl essential spectrum of singular neutron transport operator.</p>http://www.etamaths.com/index.php/ijaa/article/view/600
spellingShingle Leila Mebarki
Mohammed Benharrat
Bekkai Messirdi
Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators
International Journal of Analysis and Applications
title Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators
title_full Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators
title_fullStr Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators
title_full_unstemmed Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators
title_short Quasi-Compact Perturbations of the Weyl Essential Spectrum and Application to Singular Transport Operators
title_sort quasi compact perturbations of the weyl essential spectrum and application to singular transport operators
url http://www.etamaths.com/index.php/ijaa/article/view/600
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AT mohammedbenharrat quasicompactperturbationsoftheweylessentialspectrumandapplicationtosingulartransportoperators
AT bekkaimessirdi quasicompactperturbationsoftheweylessentialspectrumandapplicationtosingulartransportoperators