Free Banach spaces and the approximation properties
Functional Analysis
2012-07-13 v2
Abstract
We characterize the metric spaces whose free space has the bounded approximation property through a Lipschitz analogue of the local reflexivity principle. We show that there exist compact metric spaces whose free spaces fail the approximation property.
Cite
@article{arxiv.1201.0847,
title = {Free Banach spaces and the approximation properties},
author = {Gilles Godefroy and Narutaka Ozawa},
journal= {arXiv preprint arXiv:1201.0847},
year = {2012}
}
Comments
7 pages; v2: typos corrected and reference updated