English

Contribution to operators between Banach lattices

Functional Analysis 2022-09-27 v2

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.

Keywords

Cite

@article{arxiv.2209.03663,
  title  = {Contribution to operators between Banach lattices},
  author = {Hassan Khabaoui and Jawad H'michane and Kamal Elfahri},
  journal= {arXiv preprint arXiv:2209.03663},
  year   = {2022}
}
R2 v1 2026-06-28T00:56:33.879Z