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THE OPERATOR HILBERT SPACE OH AND TYPE III VON NEUMANN ALGEBRAS

Published online by Cambridge University Press:  14 June 2004

GILLES PISIER
GILLES PISIER
Affiliation:
Texas A&M University, College Station, TX 77843, USA pisier@math.tamu.edu Université Paris VI, Equipe d'Analyse, Case 186, 75252, Paris Cedex 05, France
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Abstract

A proof is given to show that the operator Hilbert space $\operatorname{OH}$ does not embed completely isomorphically into the predual of a semi-finite von Neumann algebra. This complements Junge's recent result, which admits such an embedding in the non-semi-finite case.

Keywords

46L0746L5447L2547L50

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Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 4 , July 2004 , pp. 455 - 459
Copyright
© The London Mathematical Society 2004

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Footnotes

Partially supported by NSF and Texas Advanced Research Program 010366-163.