Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces

Jinxiu Li; Qin Wang

doi:10.1016/j.jmaa.2005.07.013

Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces

Jinxiu Li
, Qin Wang^*

^*此作品的通讯作者

Donghua University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	892-901
页数	10
期刊	Journal of Mathematical Analysis and Applications
卷	320
期	2
DOI	https://doi.org/10.1016/j.jmaa.2005.07.013
出版状态	已出版 - 15 8月 2006
已对外发布	是

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title = "Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces",

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AB - 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.

KW - Banach space

KW - Coarse geometry

KW - Metric space

KW - The Novikov conjecture

KW - Ultraproduct

UR - https://www.scopus.com/pages/publications/33646375936

U2 - 10.1016/j.jmaa.2005.07.013

DO - 10.1016/j.jmaa.2005.07.013

M3 - 文章

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Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces

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