Sur les opérateurs factorisables par OH
Gilles Pisier
Abstract
Let H,K be Hilbert spaces. Let E ⊂ B(H) and F ⊂ B(K) be operator spaces in the sense of [1,2]. We study the operators u : E F which admit a factorization E OH F with completely bounded maps through the operator Hilbert space OH which we have introduced and studied in a recent note. We give a characterization of these operators which allows to develop a theory entirely analogous to that of operators between Banach spaces which can be factored through a Hilbert space.
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