Commutative Banach Algebras Generated by Toeplitz Operators on the Bergman Space
Functional Analysis
2022-06-24 v1 Operator Algebras
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.
Cite
@article{arxiv.2206.11557,
title = {Commutative Banach Algebras Generated by Toeplitz Operators on the Bergman Space},
author = {Miguel Angel Rodriguez Rodriguez},
journal= {arXiv preprint arXiv:2206.11557},
year = {2022}
}