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New additive results for the g-Drazin inverse

Published online by Cambridge University Press:  12 July 2007

N. Castro González  and
J. J. Koliha
N. Castro González
Affiliation:
Facultad de Informática, Universidad Politécnica de Madrid, 28660 Madrid, Spain ([email protected])
J. J. Koliha
Affiliation:
Department of Mathematics and Statistics, University of Melbourne, VIC 3010, Australia ([email protected])
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Abstract

This paper studies additive properties of the generalized Drazin inverse (g-Drazin inverse) in a Banach algebra and finds an explicit expression for the g-Drazin inverse of the sum a + b in terms of a and b and their g-Drazin inverses under fairly mild conditions on a and b.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 6 , December 2004 , pp. 1085 - 1097
Copyright
Copyright © Royal Society of Edinburgh 2004

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