Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space-Reference-Cited by-同舟云学术

Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space

Published:2005-10-25 Issue:5 Volume:134 Page:1315-1317
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Randrianarivony N.

Abstract

We show that a quasi-Banach space coarsely embeds into a Hilbert space if and only if it is isomorphic to a linear subspace of L 0 ( μ ) L_0(\mu ) for some probability space ( Ω , B , μ ) (\Omega , \mathcal {B}, \mu ) .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-05/S0002-9939-05-08416-9/S0002-9939-05-08416-9.pdf

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