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arXiv · 2206.11557

Commutative Banach Algebras Generated by Toeplitz Operators on the Bergman Space

Miguel Angel Rodriguez Rodriguez
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Abstract

We present and study commutative Banach algebras generated by Toeplitz operators with generalized quasi-radial pseudo-homogeneous symbols acting on the Bergman space over the unit ball. We develop the Gelfand theory of these algebras and give some structural information about them. In particular, we provide a description of the radical of these algebras. This paper generalizes and completes the results from previous works related to Toeplitz operators with quasi-radial quasi-homogeneous symbols.

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Miguel Angel Rodriguez Rodriguez. 2022-06-23. Commutative Banach Algebras Generated by Toeplitz Operators on the Bergman Space. https://arxiv.org/abs/2206.11557

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