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arXiv · 2107.06669

Complex symmetry of Toeplitz operators

Yong Chen·Young Joo Lee·Yile Zhao
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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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Yong Chen, Young Joo Lee, Yile Zhao. 2021-07-14. Complex symmetry of Toeplitz operators. https://arxiv.org/abs/2107.06669

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