Collective order convergence and collectively qualified sets of operators
Functional Analysis
2025-05-27 v7
Abstract
Collective versions of order convergences and corresponding types of collectively qualified sets of operators in vector lattices are investigated. It is proved that collectively order to norm bounded sets are bounded in the operator norm and collectively order continuous sets are collectively order bounded.
Keywords
Cite
@article{arxiv.2408.03671,
title = {Collective order convergence and collectively qualified sets of operators},
author = {Eduard Emelyanov},
journal= {arXiv preprint arXiv:2408.03671},
year = {2025}
}