Free Spaces Over Some Proper Metric Spaces
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Titre | Free Spaces Over Some Proper Metric Spaces |
Type de publication | Journal Article |
Year of Publication | 2015 |
Auteurs | Dalet A. |
Journal | MEDITERRANEAN JOURNAL OF MATHEMATICS |
Volume | 12 |
Pagination | 973-986 |
Date Published | JUL |
Type of Article | Article |
ISSN | 1660-5446 |
Mots-clés | bounded 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 . |
DOI | 10.1007/s00009-014-0455-5 |