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 [10.1090/S0002-9939-2013-11635-7].
Data di pubblicazione: | 2013 | |
Titolo: | On the stability of the localized single-valued extension property under commuting perturbations | |
Autori: | ||
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 [10.1090/S0002-9939-2013-11635-7]. | |
Rivista: | ||
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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