Uniformly ergodic maps on \(C^*\)-algebras (Q801268)
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scientific article; zbMATH DE number 3877819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniformly ergodic maps on \(C^*\)-algebras |
scientific article; zbMATH DE number 3877819 |
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Uniformly ergodic maps on \(C^*\)-algebras (English)
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1984
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Let T be a unital continuous linear map on a \(C^*\)-algebra A such that \(T(x)T(x)^*\leq \| T\| T(xx^*)\) for every x in A. The following conditions are proved to be equivalent: (a) T is uniformly ergodic with finite-dimensional fixed space, (b) T is quasi-compact.
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Schwarz map
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unital continuous linear map on a \(C^*\)-algebra
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uniformly ergodic with finite-dimensional fixed space
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quasi-compact
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