J. Austral. Math. Soc.
73 (2002), 115125

Additive results for the generalized Drazin inverse

Dragan S. Djordjevic
Department of Mathematics
Faculty of Sciences
University of Nis
P.O. Box 224
18000 Nis
Yugoslavia
dragan@pmf.pmf.ni.ac.yu



Yimin Wei
Department of Mathematics
and Laboratory of Mathematics
for Nonlinear Sciences
Fudan University
Shanghai 200433
P.R. of China
ymwei@fudan.edu.cn



Abstract

Additive perturbation results for the
generalized Drazin inverse of Banach space
operators are presented. Precisely, if
denotes the generalized Drazin inverse of a
bounded linear operator
on an arbitrary complex Banach space, then in
some special cases
is computed in terms of
and . Thus, recent results of Hartwig, Wang and Wei
(Linear Algebra Appl. 322 (2001), 207217)
are extended to infinite dimensional settings with simplified proofs.

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