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The generalized Drazin inverse with commutativity up to a factor in a Banach algebra

✍ Scribed by Dragana S. Cvetković-Ilić

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 153 KB
Volume: 431
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2009.03.027

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✦ Synopsis

In this paper, we investigate an explicit representation of the generalized Drazin inverse (a ± b) d in terms of a, a d , b and b d under the condition ab = λba or ab = aba and extend to Banach algebras recent results of C.Y. Deng.

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