Spectra of upper triangular operator matrices

被引：37

作者：

Benhida, C

Zerouali, EH

Zguitti, H

机构：

[1] Univ Lille 1, UFR Math, CNRS, UMR 8524, F-59655 Villeneuve Dascq, France

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 10期

关键词：

local spectral theory; operator matrices; spectra;

D O I：

10.1090/S0002-9939-05-07812-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X, Y be given Banach spaces. For A epsilon L(X), B epsilon L(Y) and C epsilon L(Y, X), let M-C be the operator defined on X circle plus Y by M-C = [A(0)C(B)]. We give sufficient conditions on C to get Sigma(M-C) = Sigma(M-0), where S runs over a large class of spectra. We also discuss the case of some spectra for which the latter equality fails.

引用

页码：3013 / 3020

页数：8

共 18 条

[1] Analytic functional models and local spectral theory [J].