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

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 theore...

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Bibliographic Details
Main Authors: Qianglian Huang, Lanping Zhu, Xiaoru Chen, Chang Zhang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/131040