\(CQ^*\)-algebras: Structure properties
Summary: Some structure properties of \(CQ^*\)-algebras are investigated. The usual multiplication of a quasi \(^*\)-algebra is generalized by introducing a weak- and strong-product. The \(^*\)-semisimplicity is defined via a suitable family of positive sesquilinear forms and some consequences of this notion are derived. The basic elements of a functional calculus on these partial algebraic structures are discussed.
scientific article; zbMATH DE number 927931