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Quaestiones Mathematicae

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On the generalized Drazin inverse of the sum in a Banach algebra

Dijana Mosic, Daochang Zhang

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.

Key words: Generalized Drazin inverse, additive properties, Banach algebras.




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