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

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• Schechtman, G (Weizmann Institute of Science)
• Thursday 13 January 2011, 11:30-12:30
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

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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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