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arxiv: 2006.05322 · v1 · pith:R3UFHMZGnew · submitted 2020-06-06 · 🧮 math.FA · math.SP

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

classification 🧮 math.FA math.SP
keywords generalizedinvertiblebrowderdrazin-meromorphictheorema-browderboundedconditions
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In this paper we give necessary and sufficient conditions for a bounded linear operator $T$ 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 $T$.

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