Lipschitz-free spaces over ultrametric spaces
Functional Analysis
2018-02-09 v3
Abstract
We prove that the Lipschitz-free space over a separable ultrametric space has a monotone Schauder basis and is isomorphic to . This extends results of A. Dalet using an alternative approach.
Keywords
Cite
@article{arxiv.1411.2434,
title = {Lipschitz-free spaces over ultrametric spaces},
author = {Marek Cuth and Michal Doucha},
journal= {arXiv preprint arXiv:1411.2434},
year = {2018}
}
Comments
The only change in the latest version is the second author's grant information. Question 1 from the previous version has been answered - see Remark 15 for the solution. Preprint was accepted in Mediterr. J. Math