(h)性质及其扰动

Abstract

Abstract:

In this paper, we introduce and study the property (h), which extends a-Weyl's theorem. We consider its stability under commuting finite rank and nilpotent perturbations. We prove that property (h) on Banach spaces is related to an important property which has a leading role in local spectral theory:the single-valued extension property. From this result we deduce that property (h) holds for several classes of operators.

Key words: Single-valued extension property, a-Weyl's theorem, Property (h)

CLC Number:

O177.1

Wurichaihu, Alatancang. Property (h) and Perturbations[J].Acta mathematica scientia,Series A, 2019, 39(4): 713-719.

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References 24

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Property (h) and Perturbations

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