A Kadison transitivity theorem for \(C^{*}\)-semigroups (Q2469821)
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| Language | Label | Description | Also known as |
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| English | A Kadison transitivity theorem for \(C^{*}\)-semigroups |
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A Kadison transitivity theorem for \(C^{*}\)-semigroups (English)
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11 February 2008
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The authors of the paper under review obtain a semigroup analog of the Kadison transitivity theorem. They prove that if a closed, homogeneous, selfadjoint, topologically transitive group of operators acting on a separable Hilbert space contains a nonzero compact operator, then it is strictly transitive. They give examples to show that the result is best possible.
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Kadison transitivity theorem
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self-adjoint semigroups of operators
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transitive semigroups
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compact operators
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