This is an announcement for the paper "Probabilistic estimates for tensor products of random vectors" by David Alonso-Gutierrez, Markus Passenbrunner and Joscha Prochno.

Abstract: We prove some probabilistic estimates for tensor products of random vectors. As an application we obtain embeddings of certain matrix spaces into $L_1$.

Archive classification: math.FA

Mathematics Subject Classification: 46B09, 46B07, 46B28, 46B45

Remarks: 14 pages

Submitted from: joscha.prochno@jku.at

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1404.5423

or

http://arXiv.org/abs/1404.5423