Automatic boundedness of some operators between ordered and topological vector spaces
Functional Analysis
2026-03-12 v2
Abstract
We study topological boundedness of order-to-topology bounded and order-to-topology continuous operators from ordered vector spaces to topological vector spaces. The uniform boundedness principle for such operators is investigated.
Cite
@article{arxiv.2505.02200,
title = {Automatic boundedness of some operators between ordered and topological vector spaces},
author = {Eduard Emelyanov},
journal= {arXiv preprint arXiv:2505.02200},
year = {2026}
}