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The Lipschitz free Banach spaces of  -spaces
Author(s):
Yves
Dutrieux;
Valentin
Ferenczi
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1039-1044.
MSC (2000):
Primary 46B03
Posted:
November 17, 2005
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Abstract:
The aim of this note is to prove that if  is any infinite
metric compact space, then the Lipschitz free
spaces of  and  are
isomorphic. This gives an example of non-Lipschitz-homeomorphic
Banach spaces
whose free Lipschitz spaces are isomorphic. We
also derive some results about
Lipschitz homogeneity for Banach spaces, from
the results of
G. Godefroy and N. J. Kalton
on Lipschitz free Banach spaces.
References:
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Additional Information:
Yves
Dutrieux
Affiliation:
Université de Franche-Comté, Laboratoire de Mathématiques, 16 route de Gray, 25030 Besançon Cedex, France
Email:
dutrieux@math.univ-fcomte.fr
Valentin
Ferenczi
Affiliation:
Institut de Mathématiques, Analyse Fonctionnelle, Université Paris 6, Bo{î}te 186, 4 place Jussieu, 75252 Paris Cedex 05, France
Email:
ferenczi@ccr.jussieu.fr
DOI:
10.1090/S0002-9939-05-08301-2
PII:
S 0002-9939(05)08301-2
Received by editor(s):
October 5, 2004
Posted:
November 17, 2005
Additional Notes:
Part of this article was written when the second author was at the University of São Paulo, under the FAPESP grant 2002/09662-1.
Communicated by:
David Preiss
Copyright of article:
Copyright
2005,
American Mathematical Society
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