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arxiv: 1610.01070 · v1 · pith:WKKEMCTPnew · submitted 2016-10-04 · 🧮 math.FA

Equivariant geometry of Banach spaces and topological groups

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keywords banachgroupsspacestopologicalcontinuousembeddingsequivariantgeometry
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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.

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