Remarks on quasi-isometric non-embeddability into uniformly convex Banach spaces
Metric Geometry
2015-01-29 v4 Functional Analysis
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 and superreflexivity are discussed.
Keywords
Cite
@article{arxiv.math/0506178,
title = {Remarks on quasi-isometric non-embeddability into uniformly convex Banach spaces},
author = {Piotr W. Nowak},
journal= {arXiv preprint arXiv:math/0506178},
year = {2015}
}