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Title: Caractérisation Des Espaces 1-Matriciellement Normés
Authors: Le Merdy, Christian
Mezrag, Lahcéne
Keywords: Espace d’opérateurs
Espace P-Matriciellement Normé
Opérateur Complétement Borné
Issue Date: 2002
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 28, No 3, (2002), 201p-206p
Abstract: 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.
ISSN: 1310-6600
Appears in Collections:Volume 28 Number 3

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