Property (R) under perturbations

Pietro Aiena; Jesús R. Guillén; Pedro Peña; Elvis Aponte

Property (R) under perturbations

Pietro Aiena, Jesús R. Guillén, Pedro Peña, Elvis Aponte

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Risultato della ricerca: Article › peer review

8 Citazioni (Scopus)

Abstract

Property (R) holds for a bounded linear operator T defined on a complex Banach space X, if the isolated points of the spectrum of T which are eigenvalues of finite multiplicity are exactly those points c of the approximate point spectrum such CI- 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.

Lingua originale	English
pagine (da-a)	367-382
Numero di pagine	16
Rivista	Mediterranean Journal of Mathematics
Volume	10
Stato di pubblicazione	Published - 2013

All Science Journal Classification (ASJC) codes

Mathematics(all)

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title = "Property (R) under perturbations",

abstract = "Property (R) holds for a bounded linear operator T defined on a complex Banach space X, if the isolated points of the spectrum of T which are eigenvalues of finite multiplicity are exactly those points c of the approximate point spectrum such CI- 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.",

author = "Pietro Aiena and Guill{\'e}n, {Jes{\'u}s R.} and Pedro Pe{\~n}a and Elvis Aponte",

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T1 - Property (R) under perturbations

AU - Aiena, Pietro

AU - Guillén, Jesús R.

AU - Peña, Pedro

AU - Aponte, Elvis

PY - 2013

Y1 - 2013

N2 - Property (R) holds for a bounded linear operator T defined on a complex Banach space X, if the isolated points of the spectrum of T which are eigenvalues of finite multiplicity are exactly those points c of the approximate point spectrum such CI- 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.

AB - Property (R) holds for a bounded linear operator T defined on a complex Banach space X, if the isolated points of the spectrum of T which are eigenvalues of finite multiplicity are exactly those points c of the approximate point spectrum such CI- 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.

UR - http://hdl.handle.net/10447/64088

M3 - Article

VL - 10

SP - 367

EP - 382

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

SN - 1660-5446

ER -