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

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

2010-09-06

arxiv.org/abs/1009.1061v1

Mathematics

Functional Analysis

Scientific paper

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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