Subnormality and 2-hyponormality for Toeplitz operators. (Q1865919)
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scientific article; zbMATH DE number 1890574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subnormality and 2-hyponormality for Toeplitz operators. |
scientific article; zbMATH DE number 1890574 |
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Subnormality and 2-hyponormality for Toeplitz operators. (English)
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2002
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The following problem is studied: is every 2-hyponormal Toeplitz operator subnormal? The answer is negative and there is a gap. The author gives an example of a Toeplitz operator which is 2-hyponormal but not subnormal. The problem about minimal conditions for when a 2-hyponormal Toeplitz operator is subnormal or normal are also discussed.
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subnormality
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2-hyponormality
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Toeplitz operator
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