On the stability of the localized single-valued extension property under commuting perturbations

Pietro Aiena; Michael M. Neumann

On the stability of the localized single-valued extension property under commuting perturbations

Pietro Aiena, Michael M. Neumann

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Risultato della ricerca: Article › peer review

16 Citazioni (Scopus)

Abstract

This article concerns the permanence of the single-valued extension property at a point under suitable perturbations. While this property is, in general, not preserved under sums and products of commuting operators, we obtain positive results in the case of commuting perturbations that are quasi-nilpotent, algebraic, or Riesz operators.

Lingua originale	English
pagine (da-a)	2039-2050
Numero di pagine	12
Rivista	Proceedings of the American Mathematical Society
Volume	141
Stato di pubblicazione	Published - 2013

All Science Journal Classification (ASJC) codes

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Applied Mathematics

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AB - This article concerns the permanence of the single-valued extension property at a point under suitable perturbations. While this property is, in general, not preserved under sums and products of commuting operators, we obtain positive results in the case of commuting perturbations that are quasi-nilpotent, algebraic, or Riesz operators.

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