THE OPERATOR HILBERT SPACE OH AND TYPE III VON NEUMANN ALGEBRAS

DOI10.1112/S002460930400311XzbMath1068.46034arXivmath/0209019MaRDI QIDQ4824869

Gilles Pisier

Publication date: 1 November 2004

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0209019

zbMATH Keywords

semi-finite von Neumann algebrathe operator Hilbert space

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Dual spaces of operator algebras (47L50)

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Interactions between Quantum Probability and Operator Space Theory ⋮ A reduction method for noncommutative 𝐿_{𝑝}-spaces and applications ⋮ Rosenthal's theorem for subspaces of noncommutative \(L_p\) ⋮ Isometric embeddability of \(S_q^m\) into \(S_p^n\) ⋮ Embedding of the operator space OH and the logarithmic `little Grothendieck inequality' ⋮ Embedding of \(C_q\) and \(R_q\) into noncommutative \(L_p\)-spaces, \(1 \leq p < q \leq 2\) ⋮ A transference method in quantum probability ⋮ Classification of hyperfinite factors up to completely bounded isomorphism of their preduals

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