On the Dilation of Truncated Toeplitz Operators II

Eungil Ko; Ji Eun Lee; Takahiko Nakazi

doi:10.1007/s11785-019-00915-0

On the Dilation of Truncated Toeplitz Operators II

Eungil Ko
, Ji Eun Lee
, Takahiko Nakazi

Department of Mathematics

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

3 Scopus citations

Abstract

In this paper, we focus on properties of the dilation of truncated Toeplitz operators on L². In particular, we provide necessary and sufficient conditions for the dilation of truncated Toeplitz operators to be nonnegative and self-adjoint. Finally, we study the symbols φ and ψ when the dilation of truncated Toeplitz operators, S_φ _, _ψ (defined below), is normal.

Original language	English
Pages (from-to)	3549-3568
Number of pages	20
Journal	Complex Analysis and Operator Theory
Volume	13
Issue number	8
DOIs	https://doi.org/10.1007/s11785-019-00915-0
State	Published - 1 Nov 2019

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Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Keywords

Dilation of truncated Toeplitz operator
Nonnegative
Normal operator
Self-adjoint

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10.1007/s11785-019-00915-0

Cite this

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abstract = "In this paper, we focus on properties of the dilation of truncated Toeplitz operators on L2. In particular, we provide necessary and sufficient conditions for the dilation of truncated Toeplitz operators to be nonnegative and self-adjoint. Finally, we study the symbols φ and ψ when the dilation of truncated Toeplitz operators, Sφ , ψ (defined below), is normal.",

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AB - In this paper, we focus on properties of the dilation of truncated Toeplitz operators on L2. In particular, we provide necessary and sufficient conditions for the dilation of truncated Toeplitz operators to be nonnegative and self-adjoint. Finally, we study the symbols φ and ψ when the dilation of truncated Toeplitz operators, Sφ , ψ (defined below), is normal.

KW - Dilation of truncated Toeplitz operator

KW - Nonnegative

KW - Normal operator

KW - Self-adjoint

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On the Dilation of Truncated Toeplitz Operators II

Abstract

Bibliographical note

Keywords

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