On automatic continuity of operators from ordered to topological vector spaces

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Eduard Yu. Emel'yanov, Svetlana Gorokhova
DOI: 10.48550/arxiv.2601.00283
Cited by: 0

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.

Fields of Study & Subjects

Advanced Banach Space Theory Fixed Point Theorems Analysis Approximation Theory and Sequence Spaces

Publication details

Journal / source
arXiv (Cornell University)
Publication date
1 January 2026
Document type
Preprint