On collectively L-weakly compact sets of operators
Functional Analysis
2024-10-29 v2
Abstract
A set of bounded linear operators from a Banach space to a Banach lattice is collectively L-weakly compact whenever union of images of the unit ball is L-weakly compact. We extend the Meyer-Nieberg duality theorem to collectively L-weakly compact sets of operators, study relations between these sets and collectively almost limited sets, and discuss the domination problem for collectively compact sets and collectively L-weakly compact sets.
Cite
@article{arxiv.2407.10455,
title = {On collectively L-weakly compact sets of operators},
author = {Eduard Emelyanov},
journal= {arXiv preprint arXiv:2407.10455},
year = {2024}
}