Additive results for the generalized Drazin inverse
- 1 August 2002
- journal article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 73 (1), 115-126
- https://doi.org/10.1017/s1446788700008508
Abstract
Additive perturbation results for the generalized Drazin inverse of Banach space operators are presented. Precisely, ifAddenotes the generalized Drazin inverse of a bounded linear operatorAon an arbitrary complex Banach space, then in some special cases(A + B)dis computed in terms ofAdandBd. Thus, recent results of Hartwig, Wang and Wei (Linear Algebra Appl.322 (2001), 207–217) are extended to infinite dimensional settings with simplified proofs.Keywords
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