Free spaces over some proper metric spaces

Aude Dalet

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arXiv · 1404.3939

Free spaces over some proper metric spaces

Aude Dalet

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Abstract

We prove that the Lipschitz-free space over a countable proper metric space is isometric to a dual space and has the metric approximation property. We also show that the Lipschitz-free space over a proper ultrametric space is isometric to the dual of a space which is isomorphic to c_0.

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Aude Dalet. 2014-12-16. Free spaces over some proper metric spaces. https://arxiv.org/abs/1404.3939

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