Additive results for the generalized Drazin inverse-Reference-Cited by-同舟云学术

Additive results for the generalized Drazin inverse

Published:2002-08 Issue:1 Volume:73 Page:115-126
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Djordjević Dragan S.,Wei Yimin

Abstract

AbstractAdditive perturbation results for the generalized Drazin inverse of Banach space operators are presented. Precisely, if Ad denotes the generalized Drazin inverse of a bounded linear operator A on an arbitrary complex Banach space, then in some special cases (A + B)d is computed in terms of Ad and Bd. Thus, recent results of Hartwig, Wang and Wei (Linear Algebra Appl. 322 (2001), 207–217) are extended to infinite dimensional settings with simplified proofs.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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