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EQUIVARIANT GEOMETRY OF BANACH SPACES AND TOPOLOGICAL GROUPS

Part of: Normed linear spaces and Banach spaces; Banach lattices Special aspects of infinite or finite groups

Published online by Cambridge University Press:  07 September 2017

CHRISTIAN ROSENDAL
CHRISTIAN ROSENDAL*
Affiliation:
Department of Mathematics, Statistics, and Computer Science (M/C 249), University of Illinois at Chicago, 851 S. Morgan St., Chicago, IL 60607-7045, USA; rosendal.math@gmail.com

Abstract

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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.

MSC classification

Primary: 46B80: Nonlinear classification of Banach spaces; nonlinear quotients 46B20: Geometry and structure of normed linear spaces
Secondary: 20F65: Geometric group theory
Type
Research Article
Information
Forum of Mathematics, Sigma , Volume 5 , 2017 , e22
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author 2017

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