Hyponormality of Toeplitz operators on the Fock spaces

Eungil Ko; Jongrak Lee

doi:10.1080/17476933.2018.1557156

Hyponormality of Toeplitz operators on the Fock spaces

Eungil Ko, Jongrak Lee

Department of Mathematics

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

3 Scopus citations

Abstract

In this paper, we consider the hyponormality of Toeplitz operators (Formula presented.) on the Fock spaces (Formula presented.). First we characterize the necessary and sufficient conditions for the hyponormality of Toeplitz operators (Formula presented.) on (Formula presented.) with some symbol ϕ in the class of functions (Formula presented.) with polynomials f and g. Next, we consider the necessary condition for hyponormality of (Formula presented.) with trigonometric polynomial symbol ϕ.

Original language	English
Pages (from-to)	1825-1843
Number of pages	19
Journal	Complex Variables and Elliptic Equations
Volume	64
Issue number	11
DOIs	https://doi.org/10.1080/17476933.2018.1557156
State	Published - 2019

Bibliographical note

Funding Information:
The first author 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 Brain Korea 21 plus Mathematical Science Team for Global Women Leaders at Ewha Womans University and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2018R1D1A1B07048620).

Publisher Copyright:
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

47A62
47B15
47B20
Fock space
hyponormal
Toeplitz operators

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10.1080/17476933.2018.1557156

Cite this

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title = "Hyponormality of Toeplitz operators on the Fock spaces",

abstract = "In this paper, we consider the hyponormality of Toeplitz operators (Formula presented.) on the Fock spaces (Formula presented.). First we characterize the necessary and sufficient conditions for the hyponormality of Toeplitz operators (Formula presented.) on (Formula presented.) with some symbol ϕ in the class of functions (Formula presented.) with polynomials f and g. Next, we consider the necessary condition for hyponormality of (Formula presented.) with trigonometric polynomial symbol ϕ.",

keywords = "47A62, 47B15, 47B20, Fock space, hyponormal, Toeplitz operators",

author = "Eungil Ko and Jongrak Lee",

note = "Funding Information: The first author 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 Brain Korea 21 plus Mathematical Science Team for Global Women Leaders at Ewha Womans University and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2018R1D1A1B07048620). Publisher Copyright: {\textcopyright} 2018, {\textcopyright} 2018 Informa UK Limited, trading as Taylor & Francis Group.",

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doi = "10.1080/17476933.2018.1557156",

language = "English",

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AU - Ko, Eungil

AU - Lee, Jongrak

N1 - Funding Information: The first author 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 Brain Korea 21 plus Mathematical Science Team for Global Women Leaders at Ewha Womans University and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2018R1D1A1B07048620). Publisher Copyright: © 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2019

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N2 - In this paper, we consider the hyponormality of Toeplitz operators (Formula presented.) on the Fock spaces (Formula presented.). First we characterize the necessary and sufficient conditions for the hyponormality of Toeplitz operators (Formula presented.) on (Formula presented.) with some symbol ϕ in the class of functions (Formula presented.) with polynomials f and g. Next, we consider the necessary condition for hyponormality of (Formula presented.) with trigonometric polynomial symbol ϕ.

AB - In this paper, we consider the hyponormality of Toeplitz operators (Formula presented.) on the Fock spaces (Formula presented.). First we characterize the necessary and sufficient conditions for the hyponormality of Toeplitz operators (Formula presented.) on (Formula presented.) with some symbol ϕ in the class of functions (Formula presented.) with polynomials f and g. Next, we consider the necessary condition for hyponormality of (Formula presented.) with trigonometric polynomial symbol ϕ.

KW - 47A62

KW - 47B15

KW - 47B20

KW - Fock space

KW - hyponormal

KW - Toeplitz operators

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DO - 10.1080/17476933.2018.1557156

M3 - Article

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SN - 1747-6933

VL - 64

SP - 1825

EP - 1843

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 11

ER -

Hyponormality of Toeplitz operators on the Fock spaces

Abstract

Bibliographical note

Keywords

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