Journal of Operator Theory

Volume 48, Issue 2, Fall 2002 pp. 431-445.

A tensor norm for $Q$-spaces

Authors: Eric Ricard
Author institution: Universit'e Paris VI, Equipe d'Analyse, 4 place Jussieu, 75252 Paris Cedex 05, France

Summary: An analogue of the Haagerup tensor norm is introduced for $Q$-spaces. Using the non commutative Grothendieck inequality, we compare it to the classical operator space tensor norms and deduce lower estimates for the completely bounded distance between $Q$-spaces and their duals.

Keywords: Operator spaces, $Q$-spaces, $Q$-algebras, tensor norms

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