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Additive results for the generalized Drazin inverse

  • Dragan S. Djordjević (a1) and Yimin Wei (a2)

Abstract

Additive 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.

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References

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Additive results for the generalized Drazin inverse

  • Dragan S. Djordjević (a1) and Yimin Wei (a2)

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