Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603168 | Linear Algebra and its Applications | 2006 | 9 Pages |
Abstract
In this paper we investigate additive properties of the generalized Drazin inverse in a Banach algebra. We find some new conditions under which the generalized Drazin inverse of the sum a + b could be explicitly expressed in terms of a, ad, b, bd. Also, some recent results of Castro and Koliha [New additive results for the g-Drazin inverse, Proc. Roy. Soc. Edinburgh Sect. A 134 (2004) 1085–1097] are extended.
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