Property \((R)\) under perturbations
type: Item
instance of: scholarly article
title: Property \((R)\) under perturbations
zbMATH Open document ID: 1275.47007
author: Pietro Aiena
author: Elvis Aponte
author: Jesús R. Guillén
author: Pedro Peña
published in: Mediterranean Journal of Mathematics
publication date: 2013-03-20T00:00:00Z
review text: In this paper, the authors show the permanence of property (R), satisfied by an operator \(T\) acting in an infinite dimensional complex Banach space, under quasi-nilpotent, Riesz, or algebraic perturbations commuting with \(T\). Such an operator \(T\) is said to satisfy property (R) when the isolated points of its spectrum which are eigenvalues of finite multiplicity are exactly those points \(\lambda\) of its approximate point spectrum for which \(\lambda I-T\) is upper semi-Browder.
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47A11
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 6147193
zbMATH Keywords: property (R)
zbMATH Keywords: Weyl type theorems
reviewed by: Mohamed Zohry
MaRDI profile type: Publication
full work available at URL: s00009-012-0174-8
OpenAlex ID: W2035917268
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DOI: 10.1007/S00009-012-0174-8
description: scientific article; zbMATH DE number 6147193