On Embeddings of Finite Subsets of ℓ_p

2017/04/02 by Kilbane, James
#FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1704.00319

Abstract

We study finite subsets of ℓ_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 ℓ_pⁿ, n ∈ ℕ.

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