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arxiv: 1404.3939 · v3 · pith:2GBDUKI3new · submitted 2014-04-15 · 🧮 math.FA

Free spaces over some proper metric spaces

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keywords spacemetricproperdualisometriclipschitz-freespacesapproximation
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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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