Complex symmetry of Toeplitz operators

被引：2

作者：

Chen, Yong ^{[1
]}

Lee, Young Joo ^{[2
]}

Zhao, Yile ^{[1
]}

机构：

[1] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China

[2] Chonnam Natl Univ, Dept Math, Gwangju 61186, South Korea

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2022年 / 16卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Toeplitz operator; Hardy space; Complex symmetry; Canonical symmetry; Analytic symmetry; WEIGHTED COMPOSITION OPERATORS; EQUIVALENCE;

D O I：

10.1007/s43037-021-00171-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new class of conjugations and characterize complex symmetric Toeplitz operators on the Hardy space with respect to those conjugations. Also, we prove that complex symmetricity and uet property are the same for a certain class of Toeplitz operators. We also discuss the analytic symmetricity for Toeplitz operators. Our results extend several known results by providing unified ways of treating them

引用

页数：23

共 20 条

[1] BROWN A., 1963, J REINE ANGEW MATH, V213, P89
[2] Complex Symmetric Toeplitz Operators
Bu, Qinggang
Chen, Yong
Zhu, Sen
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2021, 93 (02)
[3] COBURN LA, 1966, MICH MATH J, V13, P285
[4] COWEN CC, 1982, J OPERAT THEOR, V7, P167
[5] Douglas Ronald G., 1998, GRADUATE TEXTS MATH, V179
[6] Complex Symmetric Composition Operators Induced by Linear Fractional Maps
Gao, Yong-Xin
Zhou, Ze-Hua
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2020, 69 (02) : 367 - 384
[7] Garcia SR, 2012, J OPERAT THEOR, V68, P179
[8] Complex symmetric partial isometries
Garcia, Stephan Ramon
Wogen, Warren R.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 257 (04) : 1251 - 1260
[9] A C*-ALGEBRA APPROACH TO COMPLEX SYMMETRIC OPERATORS
Guo, Kunyu
Ji, Youqing
Zhu, Sen
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 367 (10) : 6903 - 6942
[10] A CANONICAL DECOMPOSITION OF COMPLEX SYMMETRIC OPERATORS
Guo, Kunyu
Zhu, Sen
[J]. JOURNAL OF OPERATOR THEORY, 2014, 72 (02) : 529 - 547

← 1 2 →