Abstract
In this paper, we consider several questions about the eigenvalues, the numerical ranges, and the invariant subspaces of the Toeplitz operator on the Bergman space over the bidisk and we obtain the corresponding results.
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Acknowledgements
The authors are sincerely grateful to the anonymous referees for their valuable comments and suggestions, which helped to improve the presentation of this paper. Yongning Li was supported in part by the National Natural Science Foundation of China (12101092) and the Science and Technology Research Program of Chongqing Municipal Education Commission (KJQN202100822), and Xuanhao Ding was partially supported by the Natural Science Foundation of Chongqing (CSTB2022NSCQ-MSX1045).
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Communicated by Raymond Mortini.
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Li, Y., Zhao, Y. & Ding, X. The eigenvalues, numerical ranges, and invariant subspaces of the Bergman Toeplitz operators over the bidisk. Ann. Funct. Anal. 15, 35 (2024). https://doi.org/10.1007/s43034-024-00336-x
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DOI: https://doi.org/10.1007/s43034-024-00336-x