Free spaces over some proper metric spaces
Functional Analysis
2014-12-17 v3
Abstract
We prove that the Lipschitz-free space over a countable proper metric space is isometric to a dual space and has the metric approximation property. We also show that the Lipschitz-free space over a proper ultrametric space is isometric to the dual of a space which is isomorphic to c_0.
Cite
@article{arxiv.1404.3939,
title = {Free spaces over some proper metric spaces},
author = {Aude Dalet},
journal= {arXiv preprint arXiv:1404.3939},
year = {2014}
}