Geodesic
On the Duality of Operator Spaces
Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 334-346

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DOI

We prove that given an operator space structure on a dual Banach space Y*, it is not necessarily the dual one of some operator space structure on Y. This allows us to show that Sakai's theorem providing the identification between C*-algebras having a predual and von Neumann algebras does not extend to the category of operator spaces. We also include a related result about completely bounded operators from B(l 2)* into the operator Hilbert space OH.
DOI : 10.4153/CMB-1995-049-9
Mots-clés : 47C15, 46A20, 46B28 
Merdy, Christian Le. On the Duality of Operator Spaces. Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 334-346. doi: 10.4153/CMB-1995-049-9
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     journal = {Canadian mathematical bulletin},
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     year = {1995},
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     doi = {10.4153/CMB-1995-049-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-049-9/}
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