Tight embedding of subspaces of $L_p$ in $\ell_p^n$ for even $p$

Gideon Schechtman

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arXiv · 1009.1061

Tight embedding of subspaces of $L_p$ in $\ell_p^n$ for even $p$

Gideon Schechtman

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Abstract

Using a recent result of Batson, Spielman and Srivastava, We obtain a tight estimate on the dimension of $\ell_p^n$, $p$ an even integer, needed to almost isometrically contain all $k$-dimensional subspaces of $L_p$.

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BibTeX RIS

Gideon Schechtman. 2010-09-06. Tight embedding of subspaces of $L_p$ in $\ell_p^n$ for even $p$. https://arxiv.org/abs/1009.1061

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