[PDF][PDF] The property (ωπ) as a generalization of the a-Weyl theorem

W Xu, E Aponte, P Vasanthakumar - Aims Math, 2024 - aimspress.com
In this paper, for a bounded linear operator defined on a complex Banach space of infinite
dimension, we consider the set of isolated points in its approximate point spectrum, which …

Property (Bv) and Tensor Product

E Aponte, P Vasanthakumar, N Jayanthi - Symmetry, 2022 - mdpi.com
In this article, a-Browder's classical theorem is considered through the property (B v), and we
show that if two operators are norm equivalent, then property (B v) holds for one if and only if …

Tensor Product of Operators Satisfying Zariouh's Property (gaz), and Stability under Perturbations

E Aponte, N Jayanthi, D Quiroz, P Vasanthakumar - Axioms, 2022 - mdpi.com
For bounded linear operators defined on complex infinite-dimensional Banach space, H.
Zariouh, in an article introduced and studied the property (gaz). In this study, through …

A generalization of the Zariouh's property (gaz) through local spectral theory

AJ Macías, JB García, EA Valladares - revistas.espol.edu.ec
In this work, we present for the first time an in-depth study of the relationship between the
upper semi-B-Fredholm spectrum and the left Drazin spectrum. This connection leads to the …