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Quasi-Fredholm Spectrum and Compact Perturbations

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In this paper we explore some characteristics of the quasi-Fredholm resolvent set $$\rho _{qf}(T)$$ ρ qf ( T ) of an operator T defined on an infinite dimensional Banach space… Click to show full abstract

In this paper we explore some characteristics of the quasi-Fredholm resolvent set $$\rho _{qf}(T)$$ ρ qf ( T ) of an operator T defined on an infinite dimensional Banach space X . Moreover, in the case of Hilbert space H , we study the stability of the SVEP and describe the operators for which the SVEP is preserved under compact perturbations using quasi-Fredholm spectrum and $$\rho _{qf}(T)$$ ρ qf ( T ) .

Keywords: spectrum compact; compact perturbations; fredholm spectrum; quasi fredholm

Journal Title: Complex Analysis and Operator Theory
Year Published: 2019

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