Lipschitz Free Spaces over Locally Compact Metric Spaces

Published 24 Apr 2020 in math.FA and math.MG | (2004.11951v3)

Abstract: We prove that the Lipschitz free space over a certain type of discrete metric space has the Radon-Nikod\'ym property. We also show that the Lipschitz free space over a complete, locally compact metric space has the Schur or approximation property whenever the Lipschitz free space over each compact subset also has this property.

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Chris Gartland

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