6533b7d8fe1ef96bd126a3e5
RESEARCH PRODUCT
On the stability of the localized single-valued extension property under commuting perturbations
Michael M. NeumannPietro Aienasubject
SVEP quesi-nilpotent operatorsProperty (philosophy)Settore MAT/05 - Analisi MatematicaApplied MathematicsGeneral MathematicsMathematical analysisExtension (predicate logic)Operator theoryStability (probability)Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-07 | Proceedings of the American Mathematical Society |