The problem of invariant subspaces in \(C^*\)-algebra (Q2706871)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The problem of invariant subspaces in \(C^*\)-algebra |
scientific article |
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28 March 2001
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separable simple \(C^*\)-algebra
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separable irreducible \(*\)-representation
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invariant subspaces
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The problem of invariant subspaces in \(C^*\)-algebra (English)
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It is shown that if \(A\) is a separable simple \(C^*\)-algebra then for every nonzero \(a\in A\) there is a separable irreducible \(*\)-representation \((\pi, H_\pi)\) such that \(\pi(a)\) has nontrivial invariant subspaces.
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