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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On the Dilation of Truncated Toeplitz Operators II

Abstract

Bibliographical note

Keywords

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