COARSE EMBEDDABILITY INTO BANACH SPACES

被引：0

作者：

Ostrovskii, M. I. ^{[1
]}

机构：

[1] St Johns Univ, Dept Math & Comp Sci, Queens, NY 11439 USA

来源：

TOPOLOGY PROCEEDINGS, VOL 33 | 2009年 / 33卷

关键词：

Coarse embedding; uniform embedding; Banach space; expander graph; locally finite metric space; bounded geometry; FINITE METRIC-SPACES; UNIFORM EMBEDDINGS; HILBERT-SPACE; RANDOM-WALK; CONJECTURE; ULTRAPRODUCTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purposes of this paper are (1) To survey the area of coarse embeddability of metric spaces into Banach spaces, and, in particular, coarse embecklability of different Banach spaces into each other; (2) To present new results on the problems: (a) Whether coarse non-embeddability into l(2) implies presence of expander-like structures? (b) To what extent l(2) is the most difficult space to embed into?

引用

页码：163 / 183

页数：21

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