arXiv subjects

Hassan Khabaoui

Publications and source records attributed to Hassan Khabaoui.

2 recordsLinked to original sources

arXiv2022

Contribution to operators between Banach lattices

In this paper we introduce and study a new class of operators related to norm bounded sets on Banach Lattice and which brings together several classical classes of operators (as o-weakly compact operators, b-weakly compact operators, M-weakly compact operators, L-weakly compact operators, almost Dunford-Pettis operators). As consequences, we give some new lattice approximation properties of these classes of operators.

math.FA↗

arXiv2020

Some characterizations of L-weakly compact sets using the the unbounded absolutely weakly convergence and applications

Based on the concept of unbounded absolutely weakly convergence, we give new characterizations of L-weakly compact sets. As applications, we find some properties of order weakly compact operators. Also, a new characterizations of order continuous Banach lattices are obtained.

math.FA↗