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

Aiena, P; Neumann, M

doi:10.1090/S0002-9939-2013-11635-7

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.

Aiena, P., & Neumann, M. (2013). On the stability of the localized single-valued extension property under commuting perturbations. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 141(Volume 141, Issue 6), 2039-2050.

Data di pubblicazione:	2013
Titolo:	On the stability of the localized single-valued extension property under commuting perturbations
Autori:	AIENA, Pietro Neumann, MM mostra contributor esterni nascondi contributor esterni
Citazione:	Aiena, P., & Neumann, M. (2013). On the stability of the localized single-valued extension property under commuting perturbations. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 141(Volume 141, Issue 6), 2039-2050.
Rivista:	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Digital Object Identifier (DOI):	http://dx.doi.org/10.1090/S0002-9939-2013-11635-7
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.
Settore Scientifico Disciplinare:	Settore MAT/05 - Analisi Matematica
Appare nelle tipologie:	1.01 Articolo in rivista

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http://hdl.handle.net/10447/64119

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