The Lipschitz-free space over length space is locally almost square but never almost square
Functional Analysis
2022-05-06 v1
Abstract
We prove that the Lipschitz-free space over a metric space M is locally almost square whenever M is a length space. Consequently, the Lipschitz-free space is locally almost square if and only if it has the Daugavet property. We also show that a Lipschitz-free space is never almost square.
Keywords
Cite
@article{arxiv.2205.02685,
title = {The Lipschitz-free space over length space is locally almost square but never almost square},
author = {Rainis Haller and Jaan Kristjan Kaasik and Andre Ostrak},
journal= {arXiv preprint arXiv:2205.02685},
year = {2022}
}
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14 pages