On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces

被引：1

作者：

Huang, Qianglian ^{[1
,2
]}

Zhu, Lanping ^{[1
,2
]}

Chen, Xiaoru ^{[1
]}

Zhang, Chang ^{[1
]}

机构：

[1] Yangzhou Univ, Coll Math, Yangzhou 225002, Peoples R China

[2] Monash Univ, Sch Math Sci, Melbourne, Vic 3800, Australia

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1155/2012/131040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the stable perturbation of the generalized Drazin inverses of closed linear operators in Banach spaces and obtain some new characterizations for the generalized Drazin inverses to have prescribed range and null space. As special cases of our results, we recover the perturbation theorems of Wei and Wang, Castro and Koliha, Rakocevic and Wei, Castro and Koliha and Wei.

引用

页数：12

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