On entropy functionals of states of operator algebras (Q1333028)
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scientific article; zbMATH DE number 638208
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On entropy functionals of states of operator algebras |
scientific article; zbMATH DE number 638208 |
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On entropy functionals of states of operator algebras (English)
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13 September 1994
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The author characterizes the relative entropy functional on nuclear \(C^*\)-algebras and injective von Neumann algebras by the following five properties: (i) Monotonicity property; (ii) Direct sum property; (iv) Nilpotent property; (v) Lower semicontinuity property.
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monotonicity
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direct sum
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nilpotent property
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lower semicontinuity
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relative entropy functional
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nuclear \(C^*\)-algebras
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injective von Neumann algebras
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