Characterization of metric spaces whose free space is isometric to l(1)*

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TitreCharacterization of metric spaces whose free space is isometric to l(1)*
Type de publicationJournal Article
Year of Publication2016
AuteursDalet A, Kaufmann PL, Prochazka A
JournalBULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
Volume23
Pagination391-400
Date PublishedJUL-SEP
Type of ArticleArticle
ISSN1370-1444
Mots-clésbranching point, Extreme point, Lipschitz free space, norm-attaining Lipschitz functional, real-tree
Résumé

We characterize metric spaces whose Lipschitz free space is isometric to l(1). In particular, we show that the Lipschitz free space over an ultrametric space is not isometric to l(1)(Gamma) for any set r. We give a lower bound for the Banach-Mazur distance in the finite case.

DOI10.36045/bbms/1473186513