Completely bounded maps on C C^ ast -algebras Academic Article

In this paper we give a simpler proof of an extension theorem for completely bounded maps defined on subspaces of C {C^ * } -algebras, a new proof of a theorem of Wittstock [8, Satz 4.5], and a series of propositions by extending the techniques of [7] to work in the case of a C C -bimodule action on the C {C^ * } -algebras involved.