6533b7d4fe1ef96bd1262acc

RESEARCH PRODUCT

Property (gab) through localized SVEP

Pietro AienaSalvatore Triolo

subject

Discrete mathematicsNumerical AnalysisPure mathematicsControl and OptimizationSpectral theoryProperty (philosophy)Property (gab) local spectral subspaces Browder type theorems.Applied Mathematics010102 general mathematicsBanach space010103 numerical & computational mathematics01 natural sciencesStability (probability)Bounded operatorSettore MAT/05 - Analisi Matematica0101 mathematicsAnalysisMathematics

description

In this article we study the property (gab) for a bounded linear operator T 2 L(X) on a Banach space X which is a stronger variant of Browder's theorem. We shall give several characterizations of property (gab). These characterizations are obtained by using typical tools from local spectral theory. We also show that property (gab) holds for large classes of operators and prove the stability of property (gab) under some commuting perturbations. 2010 Mathematics Subject Classication. Primary 47A10, 47A11; Secondary 47A53, 47A55.

yearjournalcountryeditionlanguage
2015-12-01
10.7603/s40956-015-0007-4http://hdl.handle.net/10447/150600