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8 results on '"Khabaoui, Hassan"'

3. Contribution to operators between Banach lattices

Author

Khabaoui, Hassan, H'michane, Jawad, and Elfahri, Kamal

Subjects
Mathematics - Functional Analysis
Abstract

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.

Published
2022

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

Author

Khabaoui, Hassan, H'michane, Jawad, and Fahri, Kamal El

Subjects
Mathematics - Functional Analysis, Primary 46B07. Secondary 46B42, 47B50
Abstract

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.

Published
2020

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