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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Bibliographic Details
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://etamaths.com/index.php/ijaa/article/view/600
Description
Summary:<!--[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>
ISSN:2291-8639