This is an announcement for the paper "Quantitative coarse embeddings of quasi-Banach spaces into a Hilbert space" by Michal Kraus.

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.

Archive classification: math.FA

Mathematics Subject Classification: 46B20, 46A16, 51F99, 46B85

Remarks: 11 pages

Submitted from: mkraus@karlin.mff.cuni.cz

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1511.05214

or

http://arXiv.org/abs/1511.05214