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 …

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 …

Tensor products and property (w)

BP Duggal - Rendiconti del Circolo Matematico di Palermo, 2011 - Springer
A Banach space operator satisfies “property (w)” if the complement of its essential Weyl
approximate point spectrum in its approximate point spectrum is the set of finite multiplicity …

On Weyl's theorem for tensor products

CS Kubrusly, BP Duggal - Glasgow Mathematical Journal, 2013 - cambridge.org
ON WEYL’S THEOREM FOR TENSOR PRODUCTS Page 1 Glasgow Math. J. 55 (2013) 139–144.
C Glasgow Mathematical Journal Trust 2012. doi:10.1017/S0017089512000407. ON WEYL’S …

[PDF][PDF] The stability of property (gt) under perturbation and tensor product

MHM RASHID, M Chō - Oper. Matrices, 2023 - files.ele-math.com
An operator T acting on a Banach space X obeys property (gt) if the isolated points of the
spectrum σ (T) of T which are eigenvalues are exactly those points λ of the spectrum for …

[图书][B] Bilinear Maps and Tensor Products in Operator Theory

CS Kubrusly - 2023 - Springer
This book, intended as a first course in bilinear maps and tensor products, introduces tensor
products in Banach spaces to graduate students, helping them to learn the subject from the …

[PDF][PDF] Stability of versions of the Weyl-type theorems under the tensor product

MHM Rashid, T Prasad - Ukrainian Math. J, 2016 - academia.edu
Given Banach spaces X and Y, let X⌦ Y denote the completion (in some reasonable uniform
cross norm) of the tensor product of X and Y. For Banach-space operators A 2 B (X) and B 2 …

[PDF][PDF] Generalized Weyl theorem and tensor product

MHM Rashid - Український математичний журнал, 2012 - dspace.nbuv.gov.ua
GENERALIZED WEYL’S THEOREM AND TENSOR PRODUCT УЗАГАЛЬНЕНА ТЕОРЕМА
ВЕЙЛЯ ТА ТЕНЗОРНИЙ ДОБ Page 1 UDC 515.14 MHM Rashid (Mu’tah Univ., Al-Karak …

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 …