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Free spaces over some proper metric spaces

Published 15 Apr 2014 in math.FA | (1404.3939v3)

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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