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Commutative algebras of Toeplitz operators on the Bergman space revisited: Spectral theorem approach

For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find their representations as the algebras of bounded functions of certain unbounded self-adjoint operators. We discuss main properties of these representation and, especially, describe relations between properties of the spectral function of Toeplitz operators in the spectral representation and properties of the symbols.

preprint2022arXivOpen access
Grigori RozenblumNikolai Vasilevski
math.FA
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Grigori RozenblumNikolai Vasilevski

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