The Operator Hilbert Space OH and TYPE III von Neumann Algebras
Gilles Pisier
math.OAarXiv:math/0209019
Abstract
We prove that the operator Hilbert space OH does not embed completely isomorphically into the predual of a semi-finite von Neumann algebra. This complements Junge's recent result that it admits such an embedding in the non semi-finite case.
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