Abstract
AbstractAdditive 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.
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