Free Spaces Over Some Proper Metric Spaces

By A. Dalet. 2014

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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 $${c_0(\mathbb{N})}$$c0(N) .

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cf037e28da0eba78c82f24ed6bab9fb37445c7ac