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arXiv · 1704.00319

On Embeddings of Finite Subsets of $\ell_p$

James Kilbane
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Abstract

We study finite subsets of $\ell_p$ and show that, up to nowhere dense and Haar null complement, all of them embed isometrically into any Banach space that uniformly contains the spaces $\ell_p^n$, $n \in \mathbb{N}$.

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James Kilbane. 2017-04-02. On Embeddings of Finite Subsets of $\ell_p$. https://arxiv.org/abs/1704.00319

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