A Note on the Browder's and Weyl's Theorem

被引：6

作者：

Amouch, M. ^{[1
]}

Zguitti, H. ^{[2
]}

机构：

[1] Fac Sci Semlalia, Dept Math, Marrakech, Morocco

[2] Fac Sci Rabat, Dept Math, Rabat, Morocco

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 12期

关键词：

Weyl's theorem; generalized Weyl's theorem; Browder's theorem; generalized Browder's theorem; single-valued extension property;

D O I：

10.1007/s10114-008-6633-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be a Banach space operator, E(T) be the set of all isolated eigenvalues of T and pi(T) be the set of all poles of T. In this work, we show that Browder's theorem for T is equivalent to the localized single-valued extension property at all complex numbers lambda in the complement of the Weyl spectrum of T, and we give some characterization of Weyl's theorem for operator satisfying E(T) = pi(T). An application is also given.

引用

页码：2015 / 2020

页数：6

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