Approximation properties and Schauder decompositions in Lipschitz-free spaces
Functional Analysis
2012-07-09 v1
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 or have monotone finite-dimensional Schauder decompositions.
Cite
@article{arxiv.1207.1583,
title = {Approximation properties and Schauder decompositions in Lipschitz-free spaces},
author = {Gilles Lancien and Eva Pernecka},
journal= {arXiv preprint arXiv:1207.1583},
year = {2012}
}