Probabilistic estimates for tensor products of random vectors

Alonso-Gutiérrez, David; Passenbrunner, Markus; Prochno, Joscha

doi:10.1090/proc/12883

Probabilistic estimates for tensor products of random vectors
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by David Alonso-Gutiérrez, Markus Passenbrunner and Joscha Prochno

Proc. Amer. Math. Soc. 144 (2016), 2133-2148

DOI: https://doi.org/10.1090/proc/12883

Published electronically: October 5, 2015

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Abstract:

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 $L_1$.

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Probabilistic estimates for tensor products of random vectors
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Abstract: