Generalized Drazin-Riesz invertible elements in a semi-simple Banach algebra
Abstract
We extend the notion of generalized Drazin-Riesz inverse introduced for bounded linear operators in Ziv to elements in a complex unital semi-simple Banach algebra. Several characterizations and properties of generalized Drazin-Riesz invertible elements are given. In particular, we extend those of AbZg1,Djor,Ziv.
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