Spectral theory of Toeplitz and Hankel operators on the Bergman space \(A^1\) (Q942241)
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scientific article; zbMATH DE number 5321469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral theory of Toeplitz and Hankel operators on the Bergman space \(A^1\) |
scientific article; zbMATH DE number 5321469 |
Statements
Spectral theory of Toeplitz and Hankel operators on the Bergman space \(A^1\) (English)
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5 September 2008
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The paper studies the following problems about Toeplitz operators on the Bergman space \(A^1\) of the unit disk: boundedness, compactness, Fredholmness, and the Fredholm index. The difficulty of these problems is increased in the \(L^1\) setting because the Bergman projection (which is used in the definition of the Toeplitz operator) is no longer bounded on \(L^1\). The paper is one of a very few papers that study Hankel and Toeplitz operators on non-Hilbert spaces and contains several interesting results.
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Bergman space
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Toeplitz operator
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Fredholm operator
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