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math.OA2006★ 1 cited
Operator space embedding of Lq into Lp
Marius Junge, Javier Parcet
Let 1 \le p < q \le 2 and let M be any von Neumann algebra. We use recent techniques from free harmonic analysis to construct a completely isomorphic embedding of Lq(M) (equipped w…
math.FA2006★ 1 cited
Rosenthal's theorem for subspaces of noncommutative Lp
Marius Junge, Javier Parcet
We show that a reflexive subspace of the predual of a von Neumann algebra embeds into a noncommutative Lp space for some p>1. This is a noncommutative version of Rosenthal's result…