Quasi-Fredholm spectrum and compact perturbations

Anuradha Gupta; Ankit Kumar

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arXiv · 1908.04105

Quasi-Fredholm spectrum and compact perturbations

Anuradha Gupta·Ankit Kumar

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Abstract

In this paper we explore some characteristics of the quasi-Fredholm resolvent set $ρ_{qf}(T)$ 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 $ρ_{qf}(T)$.

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BibTeX RIS

Anuradha Gupta, Ankit Kumar. 2019-08-12. Quasi-Fredholm spectrum and compact perturbations. https://arxiv.org/abs/1908.04105

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