Research Article

On the Generalized Drazin inverse of the Sum in a Banach Algebra

Published in: Quaestiones Mathematicae
Volume 42 , issue 10 , 2019 , pages: 1335–1344

DOI: 10.2989/16073606.2018.1517832

Author(s): Dijana Mosić , Serbia , Daochang Zhang , China

Keywords: 46H05 , 47A05 , 15A09 , 46H05 , 47A05 , 15A09

Abstract

The objective of this paper is to study the existence of the generalized Drazin inverse of the sum a + b of two generalized Drazin invertible elements in a Banach algebra and present explicit expressions for the generalized Drazin inverse of this sum, under new conditions.

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