Free Spaces Over Some Proper Metric Spaces

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TitreFree Spaces Over Some Proper Metric Spaces
Type de publicationJournal Article
Year of Publication2015
AuteursDalet A.
JournalMEDITERRANEAN JOURNAL OF MATHEMATICS
Volume12
Pagination973-986
Date PublishedJUL
Type of ArticleArticle
ISSN1660-5446
Mots-clésbounded approximation property, duality, Lipschitz-free space, proper metric space, ultrametric space
Résumé

We prove that the Lipschitz-free space over a countable proper metric space is isometric to a dual space and has the metric approximation property. We also show that the Lipschitz-free space over a proper ultrametric space is isometric to the dual of a space which is isomorphic to .

DOI10.1007/s00009-014-0455-5