On coarse embeddability into l_p-spaces and a conjecture of Dranishnikov

Piotr W. Nowak¹
Fund. Math. 189 (2006), 111-116
doi:10.4064/fm189-2-2

Abstract: 
We show that the Hilbert space is coarsely embeddable into any $\ell _p$ for $1\le p\le \infty $. It follows that coarse embeddability into $\ell _2$ and into $\ell _p$ are equivalent for $1\le p <2$.

MSC (2000): Primary 46C05; Secondary 46T99.
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Vanderbilt University
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