A generalization of the Fuglede-Putnam theorem to unbounded operators (Q2405799)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalization of the Fuglede-Putnam theorem to unbounded operators |
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A generalization of the Fuglede-Putnam theorem to unbounded operators (English)
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26 September 2017
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Summary: Let \(N, M\) be unbounded normal operators in a Hilbert space and let \(T\) be a closed operator whose domain \(\mathcal{D}(T)\) contains the domain of \(N\), and the domain \(\mathcal{D}(T^*)\) contains the domain of \(M\). It is shown that if \(T N \subseteq M T\), then \(T N^* \subseteq M^*T\).
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unbounded normal operators
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Hilbert space
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domain
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range
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Fuglede-Putnam theorem
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