On m-isometric toeplitz operators

Eungil Ko; Jongrak Lee

doi:10.4134/BKMS.b170025

On m-isometric toeplitz operators

Eungil Ko, Jongrak Lee

Department of Mathematics

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

5 Scopus citations

Abstract

In this paper, we study m-isometric Toeplitz operators T_φ with rational symbols. We characterize m-isometric Toeplitz operators T_φ by properties of the rational symbols φ. In addition, we give a necessary and sufficient condition for Toeplitz operators T_φ with analytic symbols φ to be m-expansive or m-contractive. Finally, we give some results for m-expansive and m-contractive Toeplitz operators T_φ with trigonometric polynomial symbols φ.

Original language	English
Pages (from-to)	367-378
Number of pages	12
Journal	Bulletin of the Korean Mathematical Society
Volume	55
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.b170025
State	Published - 2018

Keywords

Contractive operators
Expansive operators
M-isometric operators
Toeplitz operators

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title = "On m-isometric toeplitz operators",

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.",

keywords = "Contractive operators, Expansive operators, M-isometric operators, Toeplitz operators",

author = "Eungil Ko and Jongrak Lee",

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: {\textcopyright} 2018 Korean Mathematical Society.",

year = "2018",

doi = "10.4134/BKMS.b170025",

language = "English",

volume = "55",

pages = "367--378",

journal = "Bulletin of the Korean Mathematical Society",

issn = "1015-8634",

publisher = "Korean Mathematical Society",

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TY - JOUR

T1 - On m-isometric toeplitz operators

AU - Ko, Eungil

AU - Lee, Jongrak

N1 - 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.

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Contractive operators

KW - Expansive operators

KW - M-isometric operators

KW - Toeplitz operators

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U2 - 10.4134/BKMS.b170025

DO - 10.4134/BKMS.b170025

M3 - Article

AN - SCOPUS:85044832848

SN - 1015-8634

VL - 55

SP - 367

EP - 378

JO - Bulletin of the Korean Mathematical Society

JF - Bulletin of the Korean Mathematical Society

IS - 2

ER -

On m-isometric toeplitz operators

Abstract

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