Completely Dissipative Maps and Stinespring's Dilation-Type Theorem on σ-C*-Algebras

di: Tian Zhou Xu

Natura: Article
Pubblicazione: Hindawi Limited 2011-01-01

Descrizione

The notion of the completely dissipative maps on σ-C*-algebras is introduced. We show that a completely dissipative map induces a representation of a σ-C*-algebra. The classical Stinespring's dilation-type theorem is extended to a more general setting.