On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space

Kraus, Michal

doi:10.1090/proc/12626

On the equivalence between coarse and uniform embeddability of quasi-Banach spaces into a Hilbert space
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Proc. Amer. Math. Soc. 143 (2015), 4835-4844 Request permission

Abstract:

We give a direct proof of the fact that a quasi-Banach space coarsely embeds into a Hilbert space if and only if it uniformly embeds into a Hilbert space.

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