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Mediterranean Journal of Mathematics

, Volume 12, Issue 3, pp 973–986 | Cite as

Free Spaces Over Some Proper Metric Spaces

  • A. Dalet
Article

Abstract

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 \({c_0(\mathbb{N})}\) .

Mathematics Subject Classification

Primary 46B10 46B28 Secondary 46B04 

Keywords

Lipschitz-free space duality bounded approximation property proper metric space ultrametric space 

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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques de Besançon, CNRS UMR 6623Université de Franche-ComtéBesançon CedexFrance

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