On some classes of unbounded operators (Q1824848)
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scientific article; zbMATH DE number 4119046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some classes of unbounded operators |
scientific article; zbMATH DE number 4119046 |
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On some classes of unbounded operators (English)
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1989
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The authors have investigated the notions of (formally) hyponormal and (formally) normal operators for unbounded operators and discussed the quasi-similarity of such operators. In particular, they have shown that quasi-similar unbounded normal operators are unitarily equivalent (which is an unbounded generalization of the Douglas theorem for the bounded normal operators) and a closed subnormal operator quasi-similar to a self-adjoint operator is self- adjoint.
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unbounded operators
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quasi-similarity
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quasi-similar unbounded normal operators
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unbounded generalization of the Douglas theorem for the bounded normal operators
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closed subnormal operator quasi-similar to a self-adjoint operator is self-adjoint
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