Quasinormal operators similar to irreducible ones (Q5928717)
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scientific article; zbMATH DE number 1583412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasinormal operators similar to irreducible ones |
scientific article; zbMATH DE number 1583412 |
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Quasinormal operators similar to irreducible ones (English)
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1 April 2001
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The author proves that a quasinormal operator \(T\) on an infinite-dimensional Hilbert space is similar to an irreducible operator if and only if \(T\) is not quadratic and \(T-\lambda I\) is not finite rank for any \(\lambda\in\mathbb{C}\).
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quasinormal operator
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similar to an irreducible operator
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