Binormal Toeplitz operators on the Hardy space

Caixing Gu, Dong O. Kang, Eungil Ko, Ji Eun Lee

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number1950001
JournalInternational Journal of Mathematics
Issue number1
StatePublished - 1 Jan 2019

Bibliographical note

Publisher Copyright:
© 2019 World Scientific Publishing Company.


  • Toeplitz operator
  • binormal operator
  • model space


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