(m, C)-Isometric Toeplitz operators with rational symbols

Eungil Ko; Ji Eun Lee; Jongrak Lee

doi:10.1080/03081087.2021.1878997

(m, C)-Isometric Toeplitz operators with rational symbols

Eungil Ko, Ji Eun Lee, Jongrak Lee

Department of Mathematics

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

Abstract

An operator (Formula presented.) is said to be (Formula presented.) -isometric if there exists a conjugation C such that (Formula presented.) for some positive integer m. In this paper, we study (Formula presented.) -isometric Toeplitz operators (Formula presented.) with rational symbols φ. We characterize (Formula presented.) -isometric Toeplitz operators (Formula presented.) by properties of the rational symbols φ. Moreover, we provide a concrete description of the (Formula presented.) -isometric block Toeplitz operators.

Original language	English
Journal	Linear and Multilinear Algebra
DOIs	https://doi.org/10.1080/03081087.2021.1878997
State	Accepted/In press - 2021

Keywords

-isometric operators
block Toeplitz operators
Toeplitz operators

Access to Document

10.1080/03081087.2021.1878997

Cite this

@article{8f1d104e94aa4aaa9b69df052fba9c43,

title = "(m, C)-Isometric Toeplitz operators with rational symbols",

abstract = "An operator (Formula presented.) is said to be (Formula presented.) -isometric if there exists a conjugation C such that (Formula presented.) for some positive integer m. In this paper, we study (Formula presented.) -isometric Toeplitz operators (Formula presented.) with rational symbols φ. We characterize (Formula presented.) -isometric Toeplitz operators (Formula presented.) by properties of the rational symbols φ. Moreover, we provide a concrete description of the (Formula presented.) -isometric block Toeplitz operators.",

keywords = "-isometric operators, block Toeplitz operators, Toeplitz operators",

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

note = "Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2021",

doi = "10.1080/03081087.2021.1878997",

language = "English",

journal = "Linear and Multilinear Algebra",

issn = "0308-1087",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - (m, C)-Isometric Toeplitz operators with rational symbols

AU - Ko, Eungil

AU - Lee, Ji Eun

AU - Lee, Jongrak

PY - 2021

Y1 - 2021

N2 - An operator (Formula presented.) is said to be (Formula presented.) -isometric if there exists a conjugation C such that (Formula presented.) for some positive integer m. In this paper, we study (Formula presented.) -isometric Toeplitz operators (Formula presented.) with rational symbols φ. We characterize (Formula presented.) -isometric Toeplitz operators (Formula presented.) by properties of the rational symbols φ. Moreover, we provide a concrete description of the (Formula presented.) -isometric block Toeplitz operators.

AB - An operator (Formula presented.) is said to be (Formula presented.) -isometric if there exists a conjugation C such that (Formula presented.) for some positive integer m. In this paper, we study (Formula presented.) -isometric Toeplitz operators (Formula presented.) with rational symbols φ. We characterize (Formula presented.) -isometric Toeplitz operators (Formula presented.) by properties of the rational symbols φ. Moreover, we provide a concrete description of the (Formula presented.) -isometric block Toeplitz operators.

KW - -isometric operators

KW - block Toeplitz operators

KW - Toeplitz operators

UR - http://www.scopus.com/inward/record.url?scp=85100863764&partnerID=8YFLogxK

U2 - 10.1080/03081087.2021.1878997

DO - 10.1080/03081087.2021.1878997

M3 - Article

AN - SCOPUS:85100863764

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

SN - 0308-1087

ER -

(m, C)-Isometric Toeplitz operators with rational symbols

Abstract

Keywords

Access to Document

Fingerprint

Cite this