On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach SpacesReport as inadecuate




On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces - Download this document for free, or read online. Document in PDF available to download.

Abstract and Applied AnalysisVolume 2012 2012, Article ID 131040, 12 pages

Research Article

College of Mathematics, Yangzhou University, Yangzhou 225002, China

School of Mathematical Sciences, Monash University, Melbourne, VIC 3800, Australia

Received 15 July 2012; Accepted 28 August 2012

Academic Editor: Josef Diblík

Copyright © 2012 Qianglian Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.





Author: Qianglian Huang, Lanping Zhu, Xiaoru Chen, and Chang Zhang

Source: https://www.hindawi.com/



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