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Completely Dissipative Maps and Stinespring's Dilation-Type Theorem onσ-C*-Algebras
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.