On automatic boundedness of some operators in ordered Banach spaces
Functional Analysis
2026-03-12 v2
Abstract
We study order-to-weak continuous operators from an ordered Banach space to a normed space. It is proved that under rather mild conditions every order-to-weak continuous operator is bounded.
Cite
@article{arxiv.2503.18834,
title = {On automatic boundedness of some operators in ordered Banach spaces},
author = {Eduard Emelyanov},
journal= {arXiv preprint arXiv:2503.18834},
year = {2026}
}