Noncommutative Burkholder/Rosenthal inequalities II: Applications
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- Junge, M. & Xu, Q. Isr. J. Math. (2008) 167: 227. doi:10.1007/s11856-008-1048-4
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We show norm estimates for the sum of independent random variables in noncommutative Lp-spaces for 1 < p < ∞, following our previous work. These estimates generalize the classical Rosenthal inequality in the commutative case. As applications, we derive an equivalence for the p-norm of the singular values of a random matrix with independent entries, and characterize those symmetric subspaces and unitary ideals which can be realized as subspaces of a noncommutative Lp for 2 < p < ∞.