[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 …

Study of the property (bz) using local spectral theory methods

E Aponte, J Soto, E Rosas - Arab Journal of Basic and Applied …, 2023 - Taylor & Francis
For a bounded linear operator, by local spectral theory methods, we study the property (bz),
which means that the difference of the approximate point spectrum with the upper semi …

B-Fredholm Spectra of Drazin Invertible Operators and Applications

E Aponte, J Macías, J Sanabria, J Soto - Axioms, 2021 - mdpi.com
In this article, we consider Drazin invertible operators for study of the relationship between
their B-Fredholm spectra and the transfer between some of the spectral properties defined …

[PDF][PDF] Property (az) through Topological Notions and Some Applications

EA VALLADARES - Transactions of A. Razmadze Mathematical …, 2022 - researchgate.net
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 …

The property and local spectral theory

E Aponte, L Lima, J Sanabria - arXiv preprint arXiv:2402.10170, 2024 - arxiv.org
In this paper, we introduce and study the spectral property $(E_A) $. This property means
that the difference between the approximate point spectrum and the upper semi-Fredholm …

Perturbation Theory for Property (VE) and Tensor Product

E Aponte, J Sanabria, L Vásquez - Mathematics, 2021 - mdpi.com
Given a complex Banach space X, we investigate the stable character of the property (VE)
for a bounded linear operator T: X→ X, under commuting perturbations that are Riesz …

[PDF][PDF] Perturbation Theory for Property (VE) and Tensor Product. Mathematics 2021, 9, 2775

E Aponte, J Sanabria, L Vásquez - 2021 - academia.edu
Given a complex Banach space X, we investigate the stable character of the property (VE)
for a bounded linear operator T: X→ X, under commuting perturbations that are Riesz …

[引用][C] THE PROPERTY (EA) AND LOCAL SPECTRAL THEORY