On the Putnam--Fuglede theorem (Q1777807)
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scientific article; zbMATH DE number 2171744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Putnam--Fuglede theorem |
scientific article; zbMATH DE number 2171744 |
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On the Putnam--Fuglede theorem (English)
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25 May 2005
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The author extends the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to some non-normal operators. One of the results states that if \(S, T\) are normal operators, \(P, Q\) are quasinilpotent operators such that \(SP=PS\), \(TQ=QT\), and \(\Phi\) is an operator with \((S+P)\Phi=\Phi(T+Q)\), then \(S\Phi=\Phi T\).
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Putnam-Fuglede theorem
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normal operator
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