On automatic boundedness of some operators in ordered Banach spaces

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.

Publication Details

Journal
arXiv (Cornell University)
Published
2025-03-24
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

On automatic boundedness of some operators in ordered Banach spaces

arXiv (Cornell University)
Fixed Point Theorems Analysis
article

On automatic boundedness of some operators in ordered Banach spaces

article en

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.

arXiv (Cornell University)
Openalex Percentile: Top 44%
Fixed Point Theorems Analysis
Open Access PDFOpenAlex
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On automatic boundedness of some operators in ordered Banach spaces · arXiv (Cornell University) (2025) | TGRS Research Map | TGRS