On automatic continuity of operators from ordered to topological vector spaces
Functional Analysis
2026-04-21 v4
Abstract
We study continuity and boundedness of order-to-topology bounded and order-to topology continuous operators from ordered to topological vector spaces. Several results on automatic continuity of operators from ordered Frechet spaces to topological vector spaces are included. Levi and Lebesgue operators especially are investigated.
Keywords
Cite
@article{arxiv.2601.00283,
title = {On automatic continuity of operators from ordered to topological vector spaces},
author = {Eduard Emelyanov and Svetlana Gorokhova},
journal= {arXiv preprint arXiv:2601.00283},
year = {2026}
}