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,...

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