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Article Dans Une Revue Annales de l'Institut Fourier Année : 2018

A characterisation of octahedrality in Lipschitz-free spaces

Résumé

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.

Dates et versions

hal-01609309 , version 1 (03-10-2017)

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Antonin Prochazka, Abraham Rueda Zoca. A characterisation of octahedrality in Lipschitz-free spaces. Annales de l'Institut Fourier, 2018, 68 (2), pp.569-588. ⟨10.5802/aif.3171⟩. ⟨hal-01609309⟩
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