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

2 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

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

Keywords

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

Access to Document

10.1080/17476933.2020.1779233

Cite this

@article{b13ec9c78cdd4f2a908de1c51dfb9725,

title = "Hyponormality of the dilation of truncated Toeplitz operators",

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.",

keywords = "47B15, 47B20, Dilations of a truncated Toeplitz operator, Primary 47B35, hyponormal, normal",

author = "Eungil Ko and Lee, {Ji Eun} and Takahiko Nakazi",

note = "Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2021",

doi = "10.1080/17476933.2020.1779233",

language = "English",

volume = "66",

pages = "1664--1675",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

publisher = "Taylor and Francis Ltd.",

number = "10",

}

TY - JOUR

T1 - Hyponormality of the dilation of truncated Toeplitz operators

AU - Ko, Eungil

AU - Lee, Ji Eun

AU - Nakazi, Takahiko

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - 47B15

KW - 47B20

KW - Dilations of a truncated Toeplitz operator

KW - Primary 47B35

KW - hyponormal

KW - normal

UR - http://www.scopus.com/inward/record.url?scp=85087355087&partnerID=8YFLogxK

U2 - 10.1080/17476933.2020.1779233

DO - 10.1080/17476933.2020.1779233

M3 - Article

AN - SCOPUS:85087355087

SN - 1747-6933

VL - 66

SP - 1664

EP - 1675

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 10

ER -

Hyponormality of the dilation of truncated Toeplitz operators

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this