arXiv:2206.11557 Abstract | arXiv Analytics

arXiv:2206.11557 [math.FA]Abstract References Reviews Resources

Commutative Banach Algebras Generated by Toeplitz Operators on the Bergman Space

Published 2022-06-23Version 1

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.

Categories: math.FA, math.OA

Keywords: toeplitz operators, bergman space, quasi-radial pseudo-homogeneous symbols acting, study commutative banach algebras, generalized quasi-radial pseudo-homogeneous symbols

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