Abstract
We characterize binormal Toeplitz operators with analytic, or, coanalytic symbol functions. Furthermore, for a large class of nonanalytic, noncoanalytic Toeplitz operators which include Toeplitz operators with trigonometric or rational symbols, we prove that those Toeplitz operators are binormal if and only if they are normal. Some of the historically important examples of Toeplitz operators in the paper show that our problem is subtle and the above result is sharp.
Original language | English |
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Article number | 1950001 |
Journal | International Journal of Mathematics |
Volume | 30 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2019 |
Bibliographical note
Funding Information:The second-named author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2015R1C1A1A01053837). The third-named author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2016R1D1A1B03931937). The last-named author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2016R1A2B4007035).
Publisher Copyright:
© 2019 World Scientific Publishing Company.
Keywords
- Toeplitz operator
- binormal operator
- model space