Notes on a class of operators with the localized single-valued extension property
Keywords:
Localized single-valued extension property, quasi-nilpotent part, analytic core, Kato decomposition and quasi-Fredholm operators, semi-Browder operators and Riesz operatorsAbstract
This article concerns the permanence of the single valued extension property at a point under suitable perturbations for an unbounded operator T on a particular integrity domain. While this property is, in general, not preserved under sums and products of commuting operators.
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