Extended Weyl-Type Theorems for Direct Sums

Author:

Berkani M.,Kachad M.,Zariouh H.

Abstract

AbstractIn this paper, we study the stability of extended Weyl and Browdertype theorems for orthogonal direct sum S⊕T, where S and T are bounded linear operators acting on Banach space. Two counterexamples shows that property (ab), in general, is not preserved under direct sum. Nonetheless, and under the assumptions that Π

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

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2. Weyl type theorems for bounded linear operators On semi Fredholm operators;Berkani;Acta Sci Math Glasg Math,2003

3. On the equivalence of Browder s and generalized Browder theorem;Amouch;Glasg Math,2006

4. a - Weyl s theorem for operator matrices;Han;Proc Amer Math Soc,2001

5. Index of Fredholm operators and generalization of a Weyl theorem;Berkani;Proc Amer Math Soc,2002

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Strong variations of Weyl and Browder type theorems for direct sums and restrictions;Rendiconti del Circolo Matematico di Palermo Series 2;2018-05-07

2. A-Browder-type theorems for direct sums of operators;Mathematica Bohemica;2016-03-30

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