论文标题
Lipschitz的无自由空间在本地紧凑的公制空间上
Lipschitz Free Spaces over Locally Compact Metric Spaces
论文作者
论文摘要
我们证明，Lipschitz在某种类型的离散度量空间上的自由空间具有radon-nikodým属性。我们还表明，每当每个紧凑型子集上的Lipschitz自由空间也具有此属性时，Lipschitz的自由空间都具有Schur或近似属性。
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.
