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

Randrianarivony, N.

doi:10.1090/S0002-9939-05-08416-9

Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space
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by N. Lovasoa Randrianarivony PDF

Proc. Amer. Math. Soc. 134 (2006), 1315-1317

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 $L_0(\mu )$ for some probability space $(\Omega , \mathcal {B}, \mu )$.

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