Equivariant geometry of Banach spaces and topological groups

2016/10/04 by Rosendal, Christian
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1610.01070

Abstract

We study uniform and coarse embeddings between Banach spaces and topological groups. A particular focus is put on equivariant embeddings, i.e., continuous cocycles associated to continuous affine isometric actions of topological groups on separable Banach spaces with varying geometry.

Related

• Uniform embeddings of bounded geometry spaces into reflexive Banach space
• Fibred cofinitely-coarse embeddability of box families and proper isometric affine actions on uniformly convex Banach spaces
• Topological groups that realize homogeneity of topological spaces
• Equivariant Banach-bundle germs
• Homogeneous spaces and equivariant embeddings