A survey on Lipschitz-free Banach Spaces

Gilles Godefroy. "A survey on Lipschitz-free Banach Spaces." Commentationes Mathematicae 55.2 (2015): null. <http://eudml.org/doc/292417>.

@article{GillesGodefroy2015,
abstract = {This article is a survey of Lipschitzfree 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 selfcontained presentation of the basic properties of Lipschitzfree Banach spaces and investigate some specific topics: non-linear transfer of asymptotic smoothness, approximation properties, normattainment. Section 5 consists mainly of unpublished results. A list of open problems with comentary is provided.},
author = {Gilles Godefroy},
journal = {Commentationes Mathematicae},
keywords = {Lipschitz maps; geometry of Banach spaces},
language = {eng},
number = {2},
pages = {null},
title = {A survey on Lipschitz-free Banach Spaces},
url = {http://eudml.org/doc/292417},
volume = {55},
year = {2015},
}

TY - JOUR
AU - Gilles Godefroy
TI - A survey on Lipschitz-free Banach Spaces
JO - Commentationes Mathematicae
PY - 2015
VL - 55
IS - 2
SP - null
AB - This article is a survey of Lipschitzfree 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 selfcontained presentation of the basic properties of Lipschitzfree Banach spaces and investigate some specific topics: non-linear transfer of asymptotic smoothness, approximation properties, normattainment. Section 5 consists mainly of unpublished results. A list of open problems with comentary is provided.
LA - eng
KW - Lipschitz maps; geometry of Banach spaces
UR - http://eudml.org/doc/292417
ER -