Hyponormality of the dilation of truncated Toeplitz operators

Eungil Ko; Ji Eun Lee; Takahiko Nakazi

doi:10.1080/17476933.2020.1779233

Hyponormality of the dilation of truncated Toeplitz operators

Eungil Ko, Ji Eun Lee, Takahiko Nakazi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1664-1675
Number of pages	12
Journal	Complex Variables and Elliptic Equations
Volume	66
Issue number	10
DOIs	https://doi.org/10.1080/17476933.2020.1779233
State	Published - 2021

Bibliographical note

Funding 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.

Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

47B15
47B20
Dilations of a truncated Toeplitz operator
Primary 47B35
hyponormal
normal

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10.1080/17476933.2020.1779233

Cite this

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abstract = "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.",

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PY - 2021

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ER -

Hyponormality of the dilation of truncated Toeplitz operators

Abstract

Bibliographical note

Keywords

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