Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces
Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces
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DOI：
10.1016/j.jmaa.2005.07.013
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发表时间：
2006-08
影响因子：
1.3
通讯作者：
Jinxiu Li;Qin Wang
中科院分区：
文献类型：
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作者：
Jinxiu Li;Qin Wang
研究了度量空间可粗嵌入一致凸Banach空间的支撑条件和收敛条件。利用超积，我们还证明了度量空间到一致凸Banach空间的粗嵌入性是由它的有限子空间决定的。
We study the support and convergence conditions for a metric space to be coarsely embeddable into a uniformly convex Banach space. By using ultraproducts we also show that the coarse embeddability of a metric space into a uniformly convex Banach space is determined by its finite subspaces.