[Banach] Abstract of a paper by Gilles Lancien and Eva Pernecka

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 http://arXiv.org/abs/1207.1583