Subadditive retractions on cones and asymmetric vector norms

2020/05/21 by A. B. Németh, Németh, A. B., S. Z. Németh +1 · 1 citation
Mathematics · #46 T 20 #47 H 30 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:20 #msc:30 #msc:46 #msc:47

paper · pdf · doi:10.48550/arxiv.2005.10508

15 pages

arxiv created 2020/05/21 · arxiv updated 2020/05/22

Abstract

Asymmetric vector norms are generalizations of asymmetric norms, where the subadditivity inequality is understood in ordered vector space sense. This relation imposes strong conditions on the ordering itself. This note studies on these conditions in the general case, and in the case when the asymmetric vector norm is the metric projection onto the cone engendering the order relation.

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• Mutually polar retractions on convex cones

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