University of Cambridge > > Isaac Newton Institute Seminar Series > Tight embedding of subspaces of $L_p$ in $ll_p^n$ for even $p$

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

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Given $1le pinfty$ and $k$ what is the minimal $n$ such that $ll_p^n$ almost isometrically contain all $k$-dimensional subspaces of $L_p$? I’ll survey what is known about this problem and then concentrate on a recent result, basically solving the problem for even $p$. The proof uses a recent result of Batson, Spielman and Srivastava.

This talk is part of the Isaac Newton Institute Seminar Series series.

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