Free spaces over countable compact metric spaces
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- by A. Dalet
- Proc. Amer. Math. Soc. 143 (2015), 3537-3546
- DOI: https://doi.org/10.1090/S0002-9939-2015-12518-X
- Published electronically: February 25, 2015
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Abstract:
We prove that the Lipschitz-free space over a countable compact metric space is isometric to a dual space and has the metric approximation property.References
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Bibliographic Information
- A. Dalet
- Affiliation: Laboratoire de Mathématiques de Besançon, CNRS UMR 6623, Université de Franche-Comté, 16 Route de Gray, 25030 Besançon Cedex, France
- Email: aude.dalet@univ-fcomte.fr
- Received by editor(s): July 22, 2013
- Received by editor(s) in revised form: March 11, 2014
- Published electronically: February 25, 2015
- Additional Notes: The first author was partially supported by PHC Barrande 26516YG
- Communicated by: Thomas Schlumprecht
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3537-3546
- MSC (2010): Primary 46B10, 46B28
- DOI: https://doi.org/10.1090/S0002-9939-2015-12518-X
- MathSciNet review: 3348795