On the extension of Hölder maps with values in spaces of continuous functions

2004/05/28 by Gilles Lancien, Lancien, Gilles, Beata Randrianantoanina +1
Mathematics · #46B20 (46T99 #54C20 #54E35) #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46B20 #msc:54C20

paper · pdf · doi:10.48550/arxiv.math/0405565

16 pages

arxiv created 2004/05/28 · openalex publication_date 2004/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the isometric extension problem for Hölder maps from subsets of any Banach space into c₀ or into a space of continuous functions. For a Banach space X, we prove that any α-Hölder map, with 0

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