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On compactness of commutators and semi-commutators of Toeplitz operators on the Bergman space - MaRDI portal

On compactness of commutators and semi-commutators of Toeplitz operators on the Bergman space (Q627353)

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scientific article; zbMATH DE number 5858863
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English
On compactness of commutators and semi-commutators of Toeplitz operators on the Bergman space
scientific article; zbMATH DE number 5858863

    Statements

    On compactness of commutators and semi-commutators of Toeplitz operators on the Bergman space (English)
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    1 March 2011
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    The paper is devoted to the study of interrelations and differences between compactness properties of commutators and semi-commutators of Toeplitz operators, acting on the Bergman space over the unit disk, for different classes of their defining symbols. The importance and interest in this question is due to the constitutive influence of these properties on the structure of the corresponding Toeplitz and related operator algebras.
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    Toeplitz operator
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    Bergman space
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    commutator
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    semi-commutator
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