In this paper, we study hyponormality of the dilation of truncated Toeplitz operators on (Formula presented.). In particular, we provide necessary and sufficient conditions for the dilation of truncated Toeplitz operators to be hyponormal. Moreover, we investigate connections between hyponormal and normal dilations of truncated Toeplitz operators.
Bibliographical noteFunding Information:
This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2016R1D1A1B03931937). The second author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2019R1A2C1002653). The authors wish to thank the referees for their invaluable comments on the original draft.
© 2020 Informa UK Limited, trading as Taylor & Francis Group.
- Dilations of a truncated Toeplitz operator
- Primary 47B35