We show norm estimates for the sum of independent random variables in
noncommutative Lpâ-spaces for 1<p<â following our previous work. These
estimates generalize the classical Rosenthal inequality in the commutative
case. Among 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 Lpâ for 2<p<â.Comment: To appear in Isreal J; Mat