Completely Dissipative Maps and Stinespring′s Dilation‐Type Theorem on σ‐C*‐Algebras

Tian Zhou Xu

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: 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.

Date: 2011
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https://doi.org/10.1155/2011/702989

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:702989

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