Property (R) under perturbations

Abstract:

Property (R) holds for a bounded linear operator , defined on a complex infinite dimensional Banach space X, if the isolated points of the spectrum of T which are eigenvalues of finite multiplicity are exactly those points λ of the approximate point spectrum for which λI − T is upper semi-Browder. In this paper we consider the permanence of this property under quasi nilpotent, Riesz, or algebraic perturbations commuting with T.

Año de publicación:

2013

Keywords:

Fuente:

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