Noncommutative Burkholder/Rosenthal inequalities II: applications

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dc.creatorJunge, Marius
dc.creatorXu, Quanhua
dc.date2007-05-14
dc.date.accessioned2026-07-07T08:01:26Z
dc.date.available2026-07-07T08:01:26Z
dc.descriptionWe show norm estimates for the sum of independent random variables in noncommutative $L_p$-spaces for $1<p<\infty$ 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 $L_p$ for $2<p<\infty$.
dc.descriptionTo appear in Isreal J; Math
dc.identifierhttps://arxiv.org/abs/0705.1952
dc.identifierhttp://arxiv.org/abs/0705.1952
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128911
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subjectProbability
dc.subjectPrimary 46L53, 46L07; Secondary, 81S25
dc.titleNoncommutative Burkholder/Rosenthal inequalities II: applications
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