Reducing subspace of analytic Toeplitz operators on the Bergman space (Q1885318)
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scientific article; zbMATH DE number 2111530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reducing subspace of analytic Toeplitz operators on the Bergman space |
scientific article; zbMATH DE number 2111530 |
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Reducing subspace of analytic Toeplitz operators on the Bergman space (English)
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28 October 2004
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The main result of the paper is as follows. Let \(\phi\) be a finite Blaschke product. Then the analytic Toeplitz operator \(M_{\phi}\) on the Bergman space over the unit disk is always reducible, and the restriction of \(M_{\phi}\) on a reducing subspace is unitary equivalent to the Bergman shift.
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Toeplitz operator
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Bergman shift
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reducing subspace
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