Quantitative coarse embeddings of quasi-Banach spaces into a Hilbert space
Functional Analysis
2015-11-18 v1
Abstract
We study how well a quasi-Banach space can be coarsely embedded into a Hilbert space. Given any quasi-Banach space X which coarsely embeds into a Hilbert space, we compute its Hilbert space compression exponent. We also show that the Hilbert space compression exponent of X is equal to the supremum of the amounts of snowflakings of X which admit a bi-Lipschitz embedding into a Hilbert space.
Keywords
Cite
@article{arxiv.1511.05214,
title = {Quantitative coarse embeddings of quasi-Banach spaces into a Hilbert space},
author = {Michal Kraus},
journal= {arXiv preprint arXiv:1511.05214},
year = {2015}
}
Comments
11 pages