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

Original language	English
Pages (from-to)	4360-4376
Number of pages	17
Journal	Linear and Multilinear Algebra
Volume	70
Issue number	19
DOIs	https://doi.org/10.1080/03081087.2021.1878997
State	Published - 2022

Bibliographical note

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© 2021 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

(m, C)-isometric operators
Toeplitz operators
block Toeplitz operators

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10.1080/03081087.2021.1878997

Cite this

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

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AU - Ko, Eungil

AU - Lee, Ji Eun

AU - Lee, Jongrak

PY - 2022

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

KW - (m, C)-isometric operators

KW - Toeplitz operators

KW - block Toeplitz operators

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SP - 4360

EP - 4376

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 19

ER -

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

Abstract

Bibliographical note

Keywords

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