<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

Property (gab) through localized SVEP

DEIM, Università di Palermo Viale delle Scienze, I-90128 Palermo,

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Property (gab) through localized SVEP"}

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...

Property (gab) through localized SVEP

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 91 - 107

Received: Jun 27, 2015

Accepted: Oct 09, 2015

DOI: https://doi.org/10.7603/s40956-015-0007-4

Keywords
Property (gab), local spectral subspaces, Browder type theorems

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Property (gab) through localized SVEP

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 91 - 107

Received: Jun 27, 2015

Accepted: Oct 09, 2015

DOI: https://doi.org/10.7603/s40956-015-0007-4

KeywordsProperty (gab), local spectral subspaces, Browder type theorems

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Property (gab), local spectral subspaces, Browder type theorems