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.
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页码：162 / 170
页数：9
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