ON THE DRAZIN INVERSE FOR UPPER TRIANGULAR OPERATOR MATRICES

被引：0

作者：

Zguitti, Hassane ^{[1
]}

机构：

[1] Univ Mohammed 1, Fac Pluridisciplinarre Nador, Dept Math & Informat, BP 300, Nador 62700, Morocco

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 2卷 / 02期

关键词：

Operator matrices; Drazin spectrum; single-valued extension property;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate the stability of Drazin spectrum sigma D(.) for upper triangular operator matrices MC = [A C 0 B] using tools from local spectral theory. We show that sigma D(MC) [[S(A star) boolean AND S(B)] = sigma D(A) [sigma D(B) where S(.) is the set where an operator fails to have the SVEP. As application we explore how the generalized Weyl's theorem survives for M-C.

引用

页码：27 / 33

页数：7

共 21 条

[1]

Aiena P., 2004, FREDHOLM LOCAL SPECT

[2]

Berkani M, 2006, MATH BOHEM, V131, P29

[3]

Berkani M, 2001, GLASGOW MATH J, V43, P457

[4] Index of B-Fredholm operators and generalization of a Weyl theorem [J].