13 Jul
2012
13 Jul
'12
12:25 p.m.
This is an announcement for the paper "Approximation properties and Schauder decompositions in Lipschitz-free spaces" by Gilles Lancien and Eva Pernecka.
Abstract: We prove that the Lipschitz-free space over a doubling metric space has the bounded approximation property. We also show that the Lipschitz-free spaces over $\ell_1^N$ or $\ell_1$ have monotone finite-dimensional Schauder decompositions.
Archive classification: math.FA
Submitted from: gilles.lancien@univ-fcomte.fr
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1207.1583
or