On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space

2013/09/03 by Michal Kraus, Kraus, Michal
Mathematics · #46B20 #51F99 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Metric Geometry (math.MG) #math.FA #math.MG #msc:46B20 #msc:51F99

paper · pdf · doi:10.48550/arxiv.1309.0747

9 pages

arxiv created 2013/09/03 · openalex publication_date 2013/09/03 · arxiv updated 2013/09/04 · openalex created_date 2022/10/07 · openalex updated_date 2026/07/28

Abstract

We give a direct proof of the fact that a quasi-Banach space coarsely embeds into a Hilbert space if and only if it uniformly embeds into a Hilbert space.

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