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 …

[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 …

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 …

Drazin inverse of Lambert conditional type operators

M Sohrabi - Rendiconti del Circolo Matematico di Palermo Series 2, 2023 - Springer
In this paper, We prove some results for Drazin inverse of Lambert conditional operators,
denoted by T^ d T d, on L^ 2 (Σ) L 2 (Σ). Also we introduce some new classes of operators …

B-Fredholm elements in primitive C*-algebras

Y Kong, L Jiang - Open Mathematics, 2022 - degruyter.com
Let A be a unital primitive C∗-algebra. This article studies the properties of the B-Fredholm
elements, the B-Weyl elements and the B-Browder elements in A. Particularly, this article …

Generalized inverses and duggal transformations of conditional operators

M Sohrabi, M Hassanlou - Journal of Advanced Mathematical …, 2024 - jamm.scu.ac.ir
In this paper, we first calculate the measure theoretic Duggal transform of Lambert
conditional operators. Next, by using the polar decomposition of operators, we obtain Moore …

معکوس‌های تعمیم یافته و تبدیلات دوگال عملگرهای شرطی....

مرتضی سهرابی, مصطفی حسنلو - Journal of Advanced …, 2024‎ - search.ebscohost.com
ﻣﻌﮑﻮﺱ ﻫﺎﯼ ﺗﻌﻤﯿﻢ ﯾﺎﻓﺘﻪ ﻭ ﺗﺒﺪﯾﻼﺕ ﺩﻭﮔﺎﻝ ﻋﻤﻠﮕﺮﻫﺎﯼ ﺷ Page 1 ۲۲۵۱ −۸۰۸۸ :ﯽﭘﺎﭼ ﺎﭘﺎﺷ DOI: 10.22055/JAMM.2024.44505.2194
ﯽﺿﺎﯾﺭ ﻪﺘﻓﺮﺸﯿﭘ ﯼﺯﺎﺳﻝﺪﻣ ﻪﻠﺠﻣ ۷۱ −۶۱ ﺹ ،۱ ﻩﺭﺎﻤﺷ ،۱۴ ﻩﺭﻭﺩ ،۱۴۰۳ ﻝﺎﺳ ﯽﻃﺮﺷ ﯼﺎﻫﺮﮕﻠﻤﻋ ﻝﺎﮔﻭﺩ ﺕﻼﯾﺪﺒﺗ ﻭ ﻪﺘﻓﺎﯾ ﻢﯿﻤﻌﺗ …

[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 …