General note on the theorem of Stampfli

Abstract It is well known that for every bounded operator A in L ( H ) $L(H)$ , there exists a compact operator K in K ( H ) $K(H)$ such that the Weyl spectrum σ W ( A ) $\sigma_{W}(A)$ of the operator A coincides with the spectrum σ ( A + K ) $\sigma(A+K)$ of the perturbed operator A. In this work,...

Full description

Bibliographic Details
Main Authors:	Cheniti Bensalloua, Mostefa Nadir
Format:	Article
Language:	English
Published:	SpringerOpen 2016-02-01
Series:	Journal of Inequalities and Applications
Subjects:	semi-Fredholm operator index of semi-Fredholm operator Weyl spectrum
Online Access:	http://link.springer.com/article/10.1186/s13660-016-1002-7

id	doaj-8cbc91b7abeb4646a3cf5e286d71d84b
record_format	Article
spelling	doaj-8cbc91b7abeb4646a3cf5e286d71d84b2020-11-24T21:49:58ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-02-012016111210.1186/s13660-016-1002-7General note on the theorem of StampfliCheniti Bensalloua0Mostefa Nadir1Department of Mathematics, University of MsilaDepartment of Mathematics, University of MsilaAbstract It is well known that for every bounded operator A in L ( H ) $L(H)$ , there exists a compact operator K in K ( H ) $K(H)$ such that the Weyl spectrum σ W ( A ) $\sigma_{W}(A)$ of the operator A coincides with the spectrum σ ( A + K ) $\sigma(A+K)$ of the perturbed operator A. In this work, we show the extension of this relation by the use of Kato’s decomposition to the set of semi-Fredholm operators.http://link.springer.com/article/10.1186/s13660-016-1002-7semi-Fredholm operatorindex of semi-Fredholm operatorWeyl spectrum
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Cheniti Bensalloua Mostefa Nadir
spellingShingle	Cheniti Bensalloua Mostefa Nadir General note on the theorem of Stampfli Journal of Inequalities and Applications semi-Fredholm operator index of semi-Fredholm operator Weyl spectrum
author_facet	Cheniti Bensalloua Mostefa Nadir
author_sort	Cheniti Bensalloua
title	General note on the theorem of Stampfli
title_short	General note on the theorem of Stampfli
title_full	General note on the theorem of Stampfli
title_fullStr	General note on the theorem of Stampfli
title_full_unstemmed	General note on the theorem of Stampfli
title_sort	general note on the theorem of stampfli
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-02-01
description	Abstract It is well known that for every bounded operator A in L ( H ) $L(H)$ , there exists a compact operator K in K ( H ) $K(H)$ such that the Weyl spectrum σ W ( A ) $\sigma_{W}(A)$ of the operator A coincides with the spectrum σ ( A + K ) $\sigma(A+K)$ of the perturbed operator A. In this work, we show the extension of this relation by the use of Kato’s decomposition to the set of semi-Fredholm operators.
topic	semi-Fredholm operator index of semi-Fredholm operator Weyl spectrum
url	http://link.springer.com/article/10.1186/s13660-016-1002-7
work_keys_str_mv	AT chenitibensalloua generalnoteonthetheoremofstampfli AT mostefanadir generalnoteonthetheoremofstampfli
_version_	1725886078255104000

General note on the theorem of Stampfli

Similar Items