Embeddings of locally finite metric spaces into Banach spaces
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- by F. Baudier and G. Lancien PDF
- Proc. Amer. Math. Soc. 136 (2008), 1029-1033 Request permission
Abstract:
We show that if $X$ is a Banach space without cotype, then every locally finite metric space embeds metrically into $X$.References
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Additional Information
- F. Baudier
- Affiliation: Laboratoire de Mathématiques UMR 6623, Université de Franche-Comté, 16 route de Gray, 25030 Besançon Cedex, France
- MR Author ID: 825722
- Email: florent.baudier@univ-fcomte.fr
- G. Lancien
- Affiliation: Laboratoire de Mathématiques UMR 6623, Université de Franche-Comté, 16 route de Gray, 25030 Besançon Cedex, France
- MR Author ID: 324078
- Email: gilles.lancien@univ-fcomte.fr
- Received by editor(s): October 4, 2006
- Received by editor(s) in revised form: January 10, 2007
- Published electronically: November 28, 2007
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 1029-1033
- MSC (2000): Primary 46B25; Secondary 51F99
- DOI: https://doi.org/10.1090/S0002-9939-07-09109-5
- MathSciNet review: 2361878