On coarse embeddability into ℓp-spaces and a conjecture of Dranishnikov
Piotr W. Nowak
Fundamenta Mathematicae, Tome 189 (2006), p. 111-116 / Harvested from The Polish Digital Mathematics Library
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We show that the Hilbert space is coarsely embeddable into any ℓp for 1 ≤ p ≤ ∞. It follows that coarse embeddability into ℓ₂ and into ℓp are equivalent for 1 ≤ p < 2.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:282754 
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     title = {On coarse embeddability into $l\_p$-spaces and a conjecture of Dranishnikov},
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Piotr W. Nowak. On coarse embeddability into $ℓ_p$-spaces and a conjecture of Dranishnikov. Fundamenta Mathematicae, Tome 189 (2006) pp. 111-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm189-2-2/