Generalized Drazin-Meromorphic Invertible Operators and Browder's Type Theorems

preprint2020arXivOpen access

Abstract

In this paper we give necessary and sufficient conditions for a bounded linear operator TT to be generalized Drazin-Riesz invertible or generalized Drazin-meromorphic invertible. Also, we study generalized Browder's theorem and generalized a-Browder's theorem by means of set of interior points of various parts of spectrum of TT.

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