Geodesic
A survey on Lipschitz-free Banach Spaces
Commentationes Mathematicae, Tome 55 (2015) no. 2, p. 89−118.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

This article is a survey of Lipschitz\dywiz free Banach spaces and recent progress in the understanding of their structure. The results we present have been obtained in the last fifteen years (and quite often in the last five years). We give a self\dywiz contained presentation of the basic properties of Lipschitz\dywiz free Banach spaces and investigate some specific topics: non-linear transfer of asymptotic smoothness, approximation properties, norm\dywiz attainment. Section 5 consists mainly of unpublished results. A list of open problems with comentary is provided.
DOI : 10.14708/cm.v55i2.1104
Classification : 46B20, 46B80
Mots-clés : Lipschitz maps, geometry of Banach spaces 
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Gilles Godefroy. A survey on Lipschitz-free Banach Spaces. Commentationes Mathematicae, Tome 55 (2015) no. 2, p.  89−118. doi : 10.14708/cm.v55i2.1104. http://geodesic.mathdoc.fr/articles/10.14708/cm.v55i2.1104/

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