Property (gab) through localized SVEP-Reference-Cited by-同舟云学术

Property (gab) through localized SVEP

Published:2015-12-01 Issue:2 Volume:1 Page:91-107
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Aiena Pietro¹,Triolo Salvatore¹

Affiliation:

1. DEIM, Università di Palermo Viale delle Scienze, I-90128 Palermo, Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Reference36 articles.

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5. [5] P. Aiena, M. T. Biondi: Browder's theorems through localized SVEP. Mediterr. J. Math. 2 (2005), no. 2, 137{151.

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