On semi-weakly \(n\)-hyponormal weighted shifts (Q453671)
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scientific article; zbMATH DE number 6087705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On semi-weakly \(n\)-hyponormal weighted shifts |
scientific article; zbMATH DE number 6087705 |
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On semi-weakly \(n\)-hyponormal weighted shifts (English)
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27 September 2012
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The authors define and study semi-weak \(n\)-hyponormality and introduce the positive determinant partition to detect semi-weak \(n\)-hyponormality of a weighted shift. They also discuss several examples related to semi-weak \(n\)-hyponormal weighted shifts. In particular, they show that there exists a semi-cubically hyponormal weighted shift which is not semi-weakly \(n\)-hyponormal for all \(n\geq 4\).
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hyponormal operators
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quadratically hyponormal operators
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polynomially hyponormal operators
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weakly \(n\)-hyponormal operators
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weighted shift operators
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