Completely Dissipative Maps and Stinespring's Dilation-Type Theorem on σ-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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/702989 |