Generalized Drazin spectrum of operator matrices

被引：0

作者：

ZHANG Shifang ^{[1
]}

ZHONG Huaijie ^{[1
]}

LIN Liqiong ^{[2
]}

机构：

[1] School of Mathematics and Computer Science, Fujian Normal University

[2] College of Mathematics and Computer Science, Fuzhou

来源：

Applied Mathematics:A Journal of Chinese Universities(Series B) | 2014年 / 29卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Let A ∈ B(X) and B ∈ B(Y), MC be an operator on Banach space X ⊕ Y given A C by MC =A generalized Drazin spectrum defined by σgD(T) = {λ∈ C : T-0 BλI is not generalized Drazin invertible} is considered in this paperIt is shown thatσgD(A) ∪σgD(B) = σgD(MC) ∪ WgD(A, B, C),where WgD(A, B, C) is a subset of σgD(A) ∩σgD(B) and a union of certain holes in σgD(MC).Furthermore, several sufficient conditions for σgD(A) ∪σgD(B) = σgD(MC) holds for every C ∈ B(Y, X) are given.

引用

页码：162 / 170

页数：9

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