Geodesic
Nonmatricial Version of the Arveson--Wittstock Extension Principle, and Its Generalization
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 63-70

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We consider the algebra $\mathcal{B}=\mathcal{B}(H)$ of bounded operators in a Hilbert space $H$, $\mathcal{B}$-bimodules, and morphisms of these bimodules into the algebra $\mathcal{B}(L\otimes H)$, where $L$ is a Hilbert space. We study the problem of extension of a morphism defined on a sub-$\mathcal{B}$-bimodule $Y\subset Z$ to $Z$. This problem is solved for Ruan bimodules.
Mots-clés : Ruan bimodule, q-norm, q-space
Keywords: bimodule tensor product, completely bounded operator, Arveson–Wittstock theorem. 
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     author = {A. Ya. Helemskii},
     title = {Nonmatricial {Version} of the {Arveson--Wittstock} {Extension} {Principle,} and {Its} {Generalization}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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A. Ya. Helemskii. Nonmatricial Version of the Arveson--Wittstock Extension Principle, and Its Generalization. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 63-70. http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a5/