2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64831We 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.Minor improvements, a simplification, and the observation that the same result is valid with OH replaced by $(R,C)_θ$ ($0< θ<1$)Operator AlgebrasFunctional Analysis46L50text