A characterisation of octahedrality in Lipschitz-free spaces
Functional Analysis
2016-12-13 v1
Abstract
We characterise the octahedrality of Lipschitz-free space norm in terms of a new geometric property of the underlying metric space. We study the metric spaces with and without this property. Quite surprisingly, metric spaces without this property cannot embed isometrically into and similar Banach spaces.
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Cite
@article{arxiv.1612.03808,
title = {A characterisation of octahedrality in Lipschitz-free spaces},
author = {Antonín Procházka and Abraham Rueda Zoca},
journal= {arXiv preprint arXiv:1612.03808},
year = {2016}
}
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17 pages