Characterization Of Metric Spaces Whose Free Space Is Isometric To L(1)*

Aude Dalet,Pedro L. Kaufmann,Antonin Prochazka

Bulletin of The Belgian Mathematical Society-simon Stevin（2016）

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摘要

We characterize metric spaces whose Lipschitz free space is isometric to l(1). In particular, we show that the Lipschitz free space over an ultrametric space is not isometric to l(1)(Gamma) for any set r. We give a lower bound for the Banach-Mazur distance in the finite case.

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关键词

branching point, extreme point, Lipschitz free space, norm-attaining Lipschitz functional, real-tree

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