Different forms of metric characterizations of classes of Banach spaces
Functional Analysis
2013-12-18 v1 Combinatorics
Metric Geometry
Abstract
For each sequence X of finite-dimensional Banach spaces there exists a sequence H of finite connected nweighted graphs with maximum degree 3 such that the following conditions on a Banach space Y are equivalent: (1) Y admits uniformly isomorphic embeddings of elements of the sequence X. (2) Y admits uniformly bilipschitz embeddings of elements of the sequence H.
Keywords
Cite
@article{arxiv.1112.0801,
title = {Different forms of metric characterizations of classes of Banach spaces},
author = {Mikhail I. Ostrovskii},
journal= {arXiv preprint arXiv:1112.0801},
year = {2013}
}
Comments
Accepted for publication in Houston Journal of Mathematics