On the Dilation of Truncated Toeplitz Operators II

被引：4

作者：

Ko, Eungil ^{[1
]}

Lee, Ji Eun ^{[2
]}

Nakazi, Takahiko ^{[3
]}

机构：

[1] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea

[2] Sejong Univ, Dept Math & Stat, Seoul 143747, South Korea

[3] Hokkaido Univ, Sapporo, Hokkaido 0600810, Japan

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2019年 / 13卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

Dilation of truncated Toeplitz operator; Nonnegative; Self-adjoint; Normal operator;

D O I：

10.1007/s11785-019-00915-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we focus on properties of the dilation of truncated Toeplitz operators on L-2. 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 phi and psi when the dilation of truncated Toeplitz operators, S-phi,S-psi (defined below), is normal.

引用

页码：3549 / 3568

页数：20

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