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arxiv: 2205.02685 · v1 · pith:EPNCAI6D · submitted 2022-05-05 · math.FA

The Lipschitz-free space over length space is locally almost square but never almost square

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classification math.FA
keywords spacealmostsquarelipschitz-freelocallylengthneverconsequently
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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.

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