Generalized property (ω') of finite rank perturbations of operators

doi:10.7523/j.issn.2095-6134.2011.6.001

Abstract

Abstract:

We define the generalized property (ω'), a variant of Weyl's theorem. By means of the new spectrum defined in view of the property of consistency in Fredholm and index, we consider the preservation of generalized property (ω') under a finite rank perturbation commuting with T, whenever T is a-isoloid. The theory is illustrated in the case of some special classes of operators.

Key words: generalized property (ω′), consistent Fredholm and index operators, spectrum, Weyl’s theorem

CLC Number:

O177.2

LIU Jun-Ying, CAO Xiao-Hong. Generalized property (ω') of finite rank perturbations of operators[J]. , 2011, 28(6): 707-714.

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