Geodesic
Caractérisation Des Espaces 1-Matriciellement Normés
Serdica Mathematical Journal, Tome 28 (2002) no. 3, pp. 201-206.

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Let X be a closed subspace of B(H) for some Hilbert space H. In [9], Pisier introduced Sp [X] (1 ≤ p ≤ +∞) by setting Sp [X] = (S∞ [X] , S1 [X])θ , (where θ =1/p , S∞ [X] = S∞ ⊗min X and S1 [X] = S1 ⊗∧ X) and showed that there are p−matricially normed spaces. In this paper we prove that conversely, if X is a p−matricially normed space with p = 1, then there is an operator structure on X, such that M1,n (X) = S1 [X] where Sn,1 [X] is the finite dimentional version of S1 [X]. For p = 1, we have no answer.
Mots-clés : Espace d’opérateurs, Espace P-Matriciellement Normé, Opérateur Complétement Borné 
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     author = {Le Merdy, Christian and Mezrag, Lahc\'ene},
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Le Merdy, Christian; Mezrag, Lahcéne. Caractérisation Des Espaces 1-Matriciellement Normés. Serdica Mathematical Journal, Tome 28 (2002) no. 3, pp. 201-206. http://geodesic.mathdoc.fr/item/SMJ2_2002_28_3_a1/