<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

Publié en ligne: 04 févr. 2017

Pages: 91 - 107

Reçu: 27 juin 2015

Accepté: 09 oct. 2015

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

Mots clés
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

Publié en ligne: 04 févr. 2017

Pages: 91 - 107

Reçu: 27 juin 2015

Accepté: 09 oct. 2015

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

Mots clésProperty (gab), local spectral subspaces, Browder type theorems

© 2017

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

Mots clés
Property (gab), local spectral subspaces, Browder type theorems