Schauder basis in Lipschitz free spaces over nets of $\mathcal{L}_\infty$-spaces
Functional Analysis
2022-02-17 v1
Abstract
In the present note we give a construction (based on a retractional argument) of a Schauder basis for the Lipschitz free space , over a net in any separable infinite dimensional -space . In particular, this yields the first example of an infinite dimensional Banach space not containing with such a property.
Cite
@article{arxiv.2202.08032,
title = {Schauder basis in Lipschitz free spaces over nets of $\mathcal{L}_\infty$-spaces},
author = {Petr Hájek and Rubén Medina},
journal= {arXiv preprint arXiv:2202.08032},
year = {2022}
}