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2012 On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces
Qianglian Huang, Lanping Zhu, Xiaoru Chen, Chang Zhang
Abstr. Appl. Anal. 2012: 1-12 (2012). DOI: 10.1155/2012/131040

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.

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Qianglian Huang. Lanping Zhu. Xiaoru Chen. Chang Zhang. "On Stable Perturbations of the Generalized Drazin Inverses of Closed Linear Operators in Banach Spaces." Abstr. Appl. Anal. 2012 1 - 12, 2012. https://doi.org/10.1155/2012/131040

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1286.47009
MathSciNet: MR2975316
Digital Object Identifier: 10.1155/2012/131040

Rights: Copyright © 2012 Hindawi

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