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Tree metrics and their Lipschitz-free spaces
Author(s):
A.
Godard
Journal:
Proc. Amer. Math. Soc.
138
(2010),
4311-4320.
MSC (2010):
Primary 46B04;
Secondary 05C05, 46B25, 54E35
Posted:
May 20, 2010
MathSciNet review:
2680057
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Abstract |
References |
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Additional information
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  .
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
DOI:
10.1090/S0002-9939-2010-10421-5
PII:
S 0002-9939(2010)10421-5
Keywords:
Lipschitz-free spaces,
subspaces of $L_{1}$,
metric trees,
four-point property.
Received by editor(s):
May 11, 2009
Received by editor(s) in revised form:
January 29, 2010
Posted:
May 20, 2010
Communicated by:
Nigel J. Kalton
Copyright of article:
Copyright
2010,
American Mathematical Society
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