EQUIVARIANT GEOMETRY OF BANACH SPACES AND TOPOLOGICAL GROUPS

被引：12

作者：

Rosendal, Christian ^{[1
]}

机构：

[1] Univ Illinois, Dept Math Stat & Comp Sci MC 249, 851 S Morgan St, Chicago, IL 60607 USA

来源：

FORUM OF MATHEMATICS SIGMA | 2017年 / 5卷

关键词：

UNIFORMLY CONVEX-SPACES; HILBERT-SPACES; METRIC-SPACES; EMBEDDINGS; COARSE; PROPERTY; EQUIVALENT; ISOMETRIES; THEOREM;

D O I：

10.1017/fms.2017.20

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study uniform and coarse embeddings between Banach spaces and topological groups. A particular focus is put on equivariant embeddings, that is, continuous cocycles associated to continuous affine isometric actions of topological groups on separable Banach spaces with varying geometry. 2010 Mathematics Subject Classification: 46B80, 46B20 (primary); 20F65 (secondary).

引用

页数：62

共 57 条

[1] EVERY SEPARABLE METRIC SPACE IS LIPSCHITZ EQUIVALENT TO A SUBSET OF C0+
AHARONI, I
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1974, 19 (03) : 284 - 291
[2] UNIFORM EMBEDDINGS OF BANACH-SPACES
AHARONI, I
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1977, 27 (02) : 174 - 179
[3] UNIFORM EMBEDDINGS OF METRIC-SPACES AND OF BANACH-SPACES INTO HILBERT-SPACES
AHARONI, I
MAUREY, B
MITYAGIN, BS
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1985, 52 (03) : 251 - 265
[4] General ergodic theorems
Alaoglu, L
Birkhoff, G
[J]. ANNALS OF MATHEMATICS, 1940, 41 : 293 - 309
[5] Albiac F, 2006, GRAD TEXTS MATH, V233, P1
[6] [Anonymous], 2008, NEW MATH MONOGRAPHS
[7] [Anonymous], 1916, B AM MATH SOC
[8] [Anonymous], 1979, LECT NOTES MATH
[9] A fixed point theorem for L 1 spaces
Bader, U.
Gelander, T.
Monod, N.
[J]. INVENTIONES MATHEMATICAE, 2012, 189 (01) : 143 - 148
[10] On the cohomology of weakly almost periodic group representations
Bader, Uri
Rosendal, Christian
Sauer, Roman
[J]. JOURNAL OF TOPOLOGY AND ANALYSIS, 2014, 6 (02) : 153 - 165

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