Sums of random Hermitian matrices and an inequality by Rudelson

Details Sums of random Hermitian matrices and an inequality by Rudelson Sums of random Hermitian matrices and an inequality by Rudelson

2010-04-22

arxiv.org/abs/1004.3821v1

Mathematics

Probability

12 pages, submitted.

Scientific paper

We give a new, elementary proof of a key inequality used by Rudelson in the
derivation of his well-known bound for random sums of rank-one operators. Our
approach is based on Ahlswede and Winter's technique for proving operator
Chernoff bounds. We also prove a concentration inequality for sums of random
matrices of rank one with explicit constants.

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