A note on generalized Weyl's theorem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:316

Article

Zguitti, H

关键词: B-Fredholm operator;    generalized Weyl's theorem;    paranormal operators;    single-valued extension property;   

DOI  :  10.1016/j.jmaa.2005.04.057

来源: Elsevier

【 摘 要 】

We prove that if either T or T* has the single-valued extension property, then the spectral mapping theorem holds for B-Weyl spectrum. If, moreover T is isoloid, and generalized Weyl's theorem holds for T, then generalized Weyl's theorem holds for f (T) for every f epsilon H(sigma (T)). An application is given for algebraically paranormal operators. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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