Geometry of the proper asymmetric norm

2021/01/14 by A. B. Németh, Németh, A. B.
Mathematics · #46A16 #46A40 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46A16 #msc:46A40

paper · pdf · doi:10.48550/arxiv.2101.05680

7 pages

arxiv created 2021/01/14 · openalex publication_date 2021/01/14 · arxiv updated 2021/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

There is given the geometric characterization of an asymmetric norm q on the real vector space X, for which exists an u∈ X such that q(x-q(x)u)=0, for each x∈ X. The result is used in the theory of mutually polar retractions on cones.

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