English

On the class of weak almost limited operators

Functional Analysis 2014-03-18 v2

Abstract

We introduce and study the class of weak almost limited operators. We establish a characterization of pairs of Banach lattices EE, FF for which every positive weak almost limited operator T:EFT:E\rightarrow F is almost limited (resp. almost Dunford-Pettis). As consequences, we will give some interesting results.

Keywords

Cite

@article{arxiv.1403.0136,
  title  = {On the class of weak almost limited operators},
  author = {A. Elbour and N. Machrafi and M. Moussa},
  journal= {arXiv preprint arXiv:1403.0136},
  year   = {2014}
}
R2 v1 2026-06-22T03:18:25.774Z