Geodesic
A New Approach to Operator Spaces
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 329-337

Voir la notice de l'article provenant de la source Cambridge University Press

The authors previously observed that the space of completely bounded maps between two operator spaces can be realized as an operator space. In particular, with the appropriate matricial norms the dual of an operator space V is completely isometric to a linear space of operators. This approach to duality enables one to formulate new analogues of Banach space concepts and results. In particular, there is an operator space version ⊗μ of the Banach space projective tensor product , which satisfies the expected functorial properties. As is the case for Banach spaces, given an operator space V, the functor W |—> V ⊗μ W preserves inclusions if and only if is an injective operator space.
DOI : 10.4153/CMB-1991-053-x
Mots-clés : 46L05 
Effros, Edward G.; Ruan, Zhong-Jin. A New Approach to Operator Spaces. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 329-337. doi: 10.4153/CMB-1991-053-x
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