Geodesic
Operator spaces and similarity problems
Documenta mathematica, ICM Berlin 1998, Vol. I (1998), pp. 429-452.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We present an overview of the theory of "Operator Spaces" (sometimes called "non-commutative Banach spaces"), recently developed by Effros, Ruan, Blecher, Paulsen and others. We describe several applications of this new ideology to operator algebras and to various similarity problems.
Classification : 46L05, 47L05, 46M05, 46B70
Keywords: operator algebra, completely bounded, similar to contraction, uniform algebra, amenable group, operator space, non-commutative Banach spaces 
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Pisier, Gilles. Operator spaces and similarity problems. Documenta mathematica, ICM Berlin 1998, Vol. I (1998), pp. 429-452. http://geodesic.mathdoc.fr/item/DOCMA_1998__S10__a13/