The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite

William B. Johnson, Assaf Naor. The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite. In Claire Mathieu, editor, Proceedings of the Twentieth Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2009, New York, NY, USA, January 4-6, 2009. pages 885-891, SIAM, 2009. [doi]

Abstract

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