Remarks on quasi-isometric non-embeddability into uniformly convex Banach spaces

2005/06/10 by Nowak, Piotr W.
#FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.math/0506178

Abstract

We construct a locally finite graph and a bounded geometry metric space which do not admit a quasi-isometric embedding into any uniformly convex Banach space. Connections with the geometry of c₀ and superreflexivity are discussed.

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