On embeddings of finite subsets of ℓ_{𝑝}

Kilbane, James

doi:10.1090/proc/13919

On embeddings of finite subsets of $\ell _p$
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Proc. Amer. Math. Soc. 146 (2018), 2117-2128 Request permission

Abstract:

We study finite subsets of $\ell _p$ and show that, up to a nowhere dense and Haar null complement, all of them embed isometrically into any Banach space that uniformly contains $\ell _p^n$.

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