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
  • [31] TRUNCATED TOEPLITZ-OPERATORS ON THE POLYDISK
    BOTTCHER, A
    MONATSHEFTE FUR MATHEMATIK, 1990, 110 (01): : 23 - 32
  • [32] Characterizations of dual truncated Toeplitz operators
    Gu, Caixing
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 496 (02)
  • [33] TRUNCATED TOEPLITZ OPERATORS OF FINITE RANK
    Bessonov, R. V.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (04) : 1301 - 1313
  • [34] Paired kernels and truncated Toeplitz operators
    Camara, M. Cristina
    Partington, Jonathan R.
    ADVANCES IN OPERATOR THEORY, 2025, 10 (02)
  • [35] ALGEBRAIC PROPERTIES OF TRUNCATED TOEPLITZ OPERATORS
    Sarason, Donald
    OPERATORS AND MATRICES, 2007, 1 (04): : 491 - 526
  • [36] Finite sections of truncated Toeplitz operators
    Roch, Steffen
    CONCRETE OPERATORS, 2015, 2 (01): : 8 - 16
  • [37] CHARACTERIZATIONS OF ASYMMETRIC TRUNCATED TOEPLITZ OPERATORS
    Camara, Crisina
    Jurasik, Joanna
    Klis-Garlicka, Kamila
    Ptak, Marek
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2017, 11 (04): : 899 - 922
  • [38] TRUNCATED TOEPLITZ OPERATORS AND COMPLEX SYMMETRIES
    Bercovici, Hari
    Timotin, Dan
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (01) : 261 - 266
  • [39] Essentially Commuting Truncated Toeplitz Operators
    Xi ZHAO
    Tao YU
    Acta Mathematica Sinica,English Series, 2024, (10) : 2453 - 2480
  • [40] ON QUASINORMALITY OF THE DILATION OF TRUNCATED TOEPLITZ OPERATORS
    Ko, Eungil
    Lee, Ji Eun
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2022, 25 (03):
12345