A characterisation of octahedrality in Lipschitz-free spaces

Abraham Rueda Zoca; Anton\'in Proch\'azka

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A characterisation of octahedrality in Lipschitz-free spaces

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arxiv 1612.03808 v1 pith:YOSAWPFI submitted 2016-12-12 math.FA

A characterisation of octahedrality in Lipschitz-free spaces

Anton\'in Proch\'azka , Abraham Rueda Zoca This is my paper

classification math.FA

keywords spacesmetricpropertylipschitz-freeoctahedralityspacewithoutbanach

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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 $\ell_1$ and similar Banach spaces.

A characterisation of octahedrality in Lipschitz-free spaces

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