SU\G(𝔸)/K·U

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Probabilistic estimates for tensor products of random vectors

Probabilistic estimates for tensor products of random vectors

We prove some probabilistic estimates for tensor products of random vectors, generalizing results that were obtained by Gordon, Litvak, Schütt, and Werner [Ann. Probab., 30(4):1833–1853, 2002], and Prochno and Riemer [Houst. J. Math., 39(4):1301–1311, 2013]. As an application we obtain embeddings of certain matrix spaces into $L_1$.