On Embeddings of Finite Subsets of $\ell_p$

James Kilbane

arxiv: 1704.00319 · v1 · pith:SB5OWHUEnew · submitted 2017-04-02 · 🧮 math.FA · math.MG

On Embeddings of Finite Subsets of ell_p

James Kilbane This is my paper

classification 🧮 math.FA math.MG

keywords finitesubsetsbanachcomplementcontainsdenseembedembeddings

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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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On Embeddings of Finite Subsets of ell_p

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