A factorization problem for normal completely bounded mappings (Q5933454)

Let \(X\) be an operator space and let \(A\) be a von Neumann algebra. The authors consider a contractive mapping from the extended Haagerup tensor product \(A\otimes_{eh} X \otimes_{eh} A\) into the space of \(w^*\)-continuous completely bounded maps from \(X^*\) into \(A\). The elements of the range space of this contractive map are characterized in terms of a factorization property involving decomposable maps. Several other properties are studied.