English

On Embeddings of Finite Subsets of $\ell_p$

Functional Analysis 2017-04-04 v1 Metric Geometry

Abstract

We study finite subsets of p\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 pn\ell_p^n, nNn \in \mathbb{N}.

Keywords

Cite

@article{arxiv.1704.00319,
  title  = {On Embeddings of Finite Subsets of $\ell_p$},
  author = {James Kilbane},
  journal= {arXiv preprint arXiv:1704.00319},
  year   = {2017}
}