Equi-bounded on order intervals families of semi-norms

2025/07/23 by Eduard Emelyanov, Emelyanov, Eduard
Mathematics · #46A40 #47B60 #47B65 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2507.18659

openalex publication_date 2025/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proved that equi-bounded on order intervals families of semi-norms on an ordered Banach space with a closed generating cone are equi-continuous.

Citations

• Collective order boundedness of sets of operators between ordered vector spaces
• Collective order convergence and collectively qualified sets of operators

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