PROPERTY (az) THROUGH TOPOLOGICAL NOTIONS AND SOME APPLICATIONS

Abstract:

In this article, for a bounded linear operator defined on a complex infinite-dimensional Banach space, through classical methods of local spectral theory, we study an important variant of a-Browder’s theorem, the variant known as the property (az). Among other new results, are obtained some characterization with topological terms showing that a set of operators that verify this property (az) is closed. Some existing results are generalized, and from a new perspective, the stability of this property (az) is studied under the classic perturbations that commute with the operator.

Año de publicación:

2022

Keywords:

• a-Browder’s theorem
• Perturbations
• SVEP
• Gab metric
• Interior

Fuente:

scopus