Abstract
In this paper, we study m-isometric Toeplitz operators Tφ with rational symbols. We characterize m-isometric Toeplitz operators Tφ by properties of the rational symbols φ. In addition, we give a necessary and sufficient condition for Toeplitz operators Tφ with analytic symbols φ to be m-expansive or m-contractive. Finally, we give some results for m-expansive and m-contractive Toeplitz operators Tφ with trigonometric polynomial symbols φ.
Original language | English |
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Pages (from-to) | 367-378 |
Number of pages | 12 |
Journal | Bulletin of the Korean Mathematical Society |
Volume | 55 |
Issue number | 2 |
DOIs | |
State | Published - 2018 |
Bibliographical note
Funding Information:Received January 11, 2017; Revised July 6, 2017; Accepted October 17, 2017. 2010 Mathematics Subject Classification. 47A62, 47B15, 47B20. Key words and phrases. m-isometric operators, expansive operators, contractive operators, Toeplitz operators. This work was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education(2009-0093827).
Publisher Copyright:
© 2018 Korean Mathematical Society.
Keywords
- Contractive operators
- Expansive operators
- M-isometric operators
- Toeplitz operators