Tree metrics and their Lipschitz-free spaces
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Abstract:
We compute the Lipschitz-free spaces of subsets of the real line and characterize subsets of metric trees by the fact that their Lipschitz-free space is isometric to a subspace of $L_1$.References
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Additional Information
- A. Godard
- Affiliation: Institut de Mathématiques de Jussieu - Projet Analyse Fonctionnelle, Université Paris 6, Boîte 186, 4 place Jussieu, 75252 Paris Cédex 05, France
- Email: godard@math.jussieu.fr
- Received by editor(s): May 11, 2009
- Received by editor(s) in revised form: January 29, 2010
- Published electronically: May 20, 2010
- Communicated by: Nigel J. Kalton
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 4311-4320
- MSC (2010): Primary 46B04; Secondary 05C05, 46B25, 54E35
- DOI: https://doi.org/10.1090/S0002-9939-2010-10421-5
- MathSciNet review: 2680057