Unbounded $M$-weakly and unbounded $L$-weakly compact operators
Functional Analysis
2021-09-16 v1
Abstract
We introduce the class of unbounded -weakly operators and the class of unbounded -weakly compact operators. We investigate some properties for these new classification of operators and we study relation between them and -weakly compact and -weakly compact operators. We also present an operator characterization of Banach lattices with order continuous norm. \keywords{unbounded -weakly compact \and unbounded -weakly compact \and unbounded norm convergence \and -weakly compact \and -weakly compact
Cite
@article{arxiv.2109.07184,
title = {Unbounded $M$-weakly and unbounded $L$-weakly compact operators},
author = {Zahra Niktab and Kazem Haghnejad Azar and Razi Alavizadeh and Saba Sadeghi Gavgani},
journal= {arXiv preprint arXiv:2109.07184},
year = {2021}
}