Abstract
We introduce a new class of conjugations and characterize complex symmetric Toeplitz operators on the Hardy space with respect to those conjugations. Also, we prove that complex symmetricity and uet property are the same for a certain class of Toeplitz operators. We also discuss the analytic symmetricity for Toeplitz operators. Our results extend several known results by providing unified ways of treating them
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Acknowledgements
The authors would like to thank the referees for many helpful comments and suggestions. The first author was supported by NSFC (11771401) and the second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(NRF-2019R1I1A3A01041943).
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Communicated by Dechao Zheng.
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Chen, Y., Lee, Y.J. & Zhao, Y. Complex symmetry of Toeplitz operators. Banach J. Math. Anal. 16, 15 (2022). https://doi.org/10.1007/s43037-021-00171-5
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DOI: https://doi.org/10.1007/s43037-021-00171-5