Property (m) under perturbations

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M. H. M. Rashid

Abstract

A Banach space operator is said to be obeys property (m) if the isolated points of the spectrum σ(T) of T which are eigenvalues of finite multiplicity are exactly those points λ of the spectrum for which T - λ is an upper semi-Browder. In this article, we study the stability of property (m), for a bounded operator acting on a Banach space, under perturbation by finite rank operators, by nilpotent operators, quasi-nilpotent operators, Riesz operator or algebraic operators commuting with T.

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How to Cite
Rashid, M. H. M. (2018). Property (m) under perturbations. Gulf Journal of Mathematics, 6(1). https://doi.org/10.56947/gjom.v6i1.119
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