Semicommutators of Truncated Toeplitz Operators

被引：0
|
作者：
Zhao, Xi [1 ]
Yu, Tao [2 ]
机构：
[1] Hebei GEO Univ, Sch Math & Sci, Shijiazhuang, Peoples R China
[2] Dalian Univ Technol, Sch Math Sci, Dalian, Peoples R China
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 04期
关键词：
Truncated Toeplitz operator; Model space; Maximal ideal space; Semicommutator; Compact operator;
D O I：
10.1007/s11785-024-01540-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper semicommutators of truncated Toeplitz operators on some model space are discussed. We investigate when the product or the semicommutator of two truncated Toeplitz operators is zero, respectively. We also obtain a necessary and sufficient condition for the semicommutator of two truncated Toeplitz operators to be compact.
引用
收藏
页数：25
相关论文
共 50 条
  • [41] On the product of dilation of truncated Toeplitz operators
    Bendaoud, Zohra
    Saouli, Nafissa
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (01) : 142 - 151
  • [42] Unitary Equivalence to Truncated Toeplitz Operators
    Strouse, E.
    Timotin, D.
    Zarrabi, M.
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2012, 61 (02) : 525 - 538
  • [43] Remark on the dilation of truncated Toeplitz operators
    Ko, Eungil
    Lee, Ji Eun
    FILOMAT, 2023, 37 (26) : 8765 - 8776
  • [44] Symbols of compact truncated Toeplitz operators
    O'Loughlin, Ryan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 507 (02)
  • [45] On the Dilation of Truncated Toeplitz Operators II
    Eungil Ko
    Ji Eun Lee
    Takahiko Nakazi
    Complex Analysis and Operator Theory, 2019, 13 : 3549 - 3568
  • [46] COMMUTATION RELATIONS FOR TRUNCATED TOEPLITZ OPERATORS
    Chalendar, Isabelle
    Timotin, Dan
    OPERATORS AND MATRICES, 2014, 8 (03): : 877 - 888
  • [47] CHARACTERIZATION OF TRUNCATED TOEPLITZ OPERATORS BY CONJUGATIONS
    Klis-Garlicka, Kamila
    Lanucha, Bartosz
    Ptak, Marek
    OPERATORS AND MATRICES, 2017, 11 (03): : 807 - 822
  • [48] On the Dilation of Truncated Toeplitz Operators II
    Ko, Eungil
    Lee, Ji Eun
    Nakazi, Takahiko
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (08) : 3549 - 3568
  • [49] TRACE APPROXIMATIONS OF PRODUCTS OF TRUNCATED TOEPLITZ OPERATORS
    Ginovyan, M. S.
    Sahakyan, A. A.
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2012, 56 (01) : 57 - 71
  • [50] Spatial Isomorphisms of Algebras of Truncated Toeplitz Operators
    Garcia, Stephan Ramon
    Ross, William T.
    Wogen, Warren R.
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2010, 59 (06) : 1971 - 2000
12345