局部紧化度量空间上的Lipschitz自由空间

arXiv: Functional Analysis Pub Date : 2020-04-24 DOI:10.4064/SM200511-10-10

C. Gartland

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引用次数: 2

摘要

证明了一类离散度量空间上的Lipschitz自由空间具有Radon-Nikodým性质。我们还证明了完备的，局部紧化度量空间上的Lipschitz自由空间具有舒尔或近似性质，而每个紧化子集上的Lipschitz自由空间也具有这个性质。

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Lipschitz free spaces over locally compact metric spaces

We prove that the Lipschitz free space over a certain type of discrete metric space has the Radon-Nikodým 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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arXiv: Functional Analysis

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