Joint hyponormality of composition operators with linear fractional symbols. (Q1865932)
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scientific article; zbMATH DE number 1890587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Joint hyponormality of composition operators with linear fractional symbols. |
scientific article; zbMATH DE number 1890587 |
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Joint hyponormality of composition operators with linear fractional symbols. (English)
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15 July 2003
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Continuing the work of Cowen and Kriete, the author studies joint hyponormality and joint subnormality of \(n\)-tuples of commuting composition operators with linear fractional symbols, acting on the Hardy space \(H^2\). He presents conditions to ensure that an \(n\)-tuple is jointly subnormal if and only if it is jointly hyponormal. In the last section of the paper, the joint subnormality of commutative \(n\)-tuples of adjoints of composition operators is analyzed.
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composition operator
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linear fractional symbols
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joint hyponormality
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joint subnormality
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