On complex symmetric Toeplitz operators

Eungil Ko; Ji Eun Lee

doi:10.1016/j.jmaa.2015.09.004

On complex symmetric Toeplitz operators

Eungil Ko, Ji Eun Lee

Department of Mathematics

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

50 Scopus citations

Abstract

In this paper, we give a characterization of a complex symmetric Toeplitz operator T_ϕ on the Hardy space H². Moreover, if T_ϕ is a complex symmetric Toeplitz operator, we provide a necessary and sufficient condition for T_ϕ to be normal. Finally, we investigate these T_ϕ with finite symbols.

Original language	English
Pages (from-to)	20-34
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	434
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2015.09.004
State	Published - 1 Feb 2016

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

Complex symmetric operator
Normal operator
Toeplitz operator

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10.1016/j.jmaa.2015.09.004

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title = "On complex symmetric Toeplitz operators",

abstract = "In this paper, we give a characterization of a complex symmetric Toeplitz operator Tϕ on the Hardy space H2. Moreover, if Tϕ is a complex symmetric Toeplitz operator, we provide a necessary and sufficient condition for Tϕ to be normal. Finally, we investigate these Tϕ with finite symbols.",

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T1 - On complex symmetric Toeplitz operators

AU - Ko, Eungil

AU - Lee, Ji Eun

PY - 2016/2/1

Y1 - 2016/2/1

N2 - In this paper, we give a characterization of a complex symmetric Toeplitz operator Tϕ on the Hardy space H2. Moreover, if Tϕ is a complex symmetric Toeplitz operator, we provide a necessary and sufficient condition for Tϕ to be normal. Finally, we investigate these Tϕ with finite symbols.

AB - In this paper, we give a characterization of a complex symmetric Toeplitz operator Tϕ on the Hardy space H2. Moreover, if Tϕ is a complex symmetric Toeplitz operator, we provide a necessary and sufficient condition for Tϕ to be normal. Finally, we investigate these Tϕ with finite symbols.

KW - Complex symmetric operator

KW - Normal operator

KW - Toeplitz operator

UR - https://www.scopus.com/pages/publications/84943353765

U2 - 10.1016/j.jmaa.2015.09.004

DO - 10.1016/j.jmaa.2015.09.004

M3 - Article

AN - SCOPUS:84943353765

SN - 0022-247X

VL - 434

SP - 20

EP - 34

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

On complex symmetric Toeplitz operators

Abstract

Bibliographical note

Keywords

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