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arXiv · 2004.11951

Lipschitz Free Spaces over Locally Compact Metric Spaces

Chris Gartland
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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. 2020-04-24. Lipschitz Free Spaces over Locally Compact Metric Spaces. https://arxiv.org/abs/2004.11951

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