2008/02/12 by Marius Junge, Junge, Marius, Javier Parcet +1
Mathematics · #46L07 #46L53 #46L54 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Operator Algebras (math.OA) #Probability (math.PR) #Random Matrices and Applications
paper · pdf · doi:10.48550/arxiv.0802.1593
openalex publication_date 2008/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Working with a rather general notion of independence, we provide a transference method which allows to compare the p-norm of sums of independent copies with the p-norm of sums of free copies. Our main technique is to construct explicit operator space Lp embeddings preserving independence to reduce the problem to L1, where some recent results by the first-named author can be used. We find applications for noncommutative Khincthine/Rosenthal type inequalities and for noncommutative Lp embedding theory.