Free \(C^*\)-algebras and the problem of uniqueness of extension in non-commutative Hahn-Banach theorem. (English) Zbl 0884.46037
Summary: By using free \(C^*\)-algebras on an operator space and hereditary \(C^*\)-subalgebras as tools, we obtain a necessary and sufficient condition for the uniqueness of extension in non-commutative Hahn-Banach-Arveson-Wittstock theorem.
MSC:
46L05 | General theory of \(C^*\)-algebras |