On automatic boundedness of some operators in ordered Banach spaces

2025/03/24 by Emelyanov, Eduard · 1 citation
#46A40 #46B42 #47B65 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2503.18834

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.

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