On automatic boundedness of some operators in ordered Banach spaces

Fuente: arXiv
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Autore principale: Emelyanov, Eduard
Natura: Preprint
Pubblicazione: 2025
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author Emelyanov, Eduard
author_facet Emelyanov, Eduard
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_18834
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On automatic boundedness of some operators in ordered Banach spaces
Emelyanov, Eduard
Functional Analysis
46A40, 46B42, 47B65
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.
title On automatic boundedness of some operators in ordered Banach spaces
topic Functional Analysis
46A40, 46B42, 47B65
url https://arxiv.org/abs/2503.18834