Nilpotent operators similar to irreducible operators. (Q1609619)
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scientific article; zbMATH DE number 1782070
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nilpotent operators similar to irreducible operators. |
scientific article; zbMATH DE number 1782070 |
Statements
Nilpotent operators similar to irreducible operators. (English)
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15 August 2002
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The main result of the present article claims that a bounded nilpotent operator \(T\) on a Hilbert space is similar to an irreducible operator if and only if \(T\) is of infinite rank and \(T^2 \neq 0\).
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irreducible operator
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finite-rank operator
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nilpotent operator
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similarity
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0.8111187815666199
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0.801531195640564
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0.7838934659957886
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0.7572171688079834
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