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^*

^*Corresponding author for this work

Donghua University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	892-901
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	320
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2005.07.013
State	Published - 15 Aug 2006
Externally published	Yes

Keywords

Banach space
Coarse geometry
Metric space
The Novikov conjecture
Ultraproduct

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10.1016/j.jmaa.2005.07.013

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

abstract = "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.",

keywords = "Banach space, Coarse geometry, Metric space, The Novikov conjecture, Ultraproduct",

author = "Jinxiu Li and Qin Wang",

year = "2006",

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doi = "10.1016/j.jmaa.2005.07.013",

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AU - Wang, Qin

PY - 2006/8/15

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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

AN - SCOPUS:33646375936

SN - 0022-247X

VL - 320

SP - 892

EP - 901

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

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

Abstract

Keywords

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