Property (gab) through localized SVEP

Aiena, Pietro; Triolo, Salvatore

doi:10.7603/s40956-015-0007-4

Abstract

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.

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Property (gab) through localized SVEP

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