Complex symmetry of Toeplitz operators
Functional Analysis
2021-07-15 v1 Complex Variables
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.
Cite
@article{arxiv.2107.06669,
title = {Complex symmetry of Toeplitz operators},
author = {Yong Chen and Young Joo Lee and Yile Zhao},
journal= {arXiv preprint arXiv:2107.06669},
year = {2021}
}
Comments
24 pages