Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices

We investigate additive properties of the generalized Drazin inverse in a Banach algebra A. We find explicit expressions for the generalized Drazin inverse of the sum a+b, under new conditions on a,b∈A. As an application we give some new representations for the generalized Drazin inverse of an opera...

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Bibliographic Details
Main Authors: Xiaoji Liu, Xiaolan Qin
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2015/156934