WEIGHTED COMPOSITION OPERATORS ON THE FOCK SPACE

被引:7
|
作者
Fatehi, Mahsa [1 ]
机构
[1] Islamic Azad Univ, Shiraz Branch, Dept Math, Shiraz, Iran
来源
OPERATORS AND MATRICES | 2019年 / 13卷 / 02期
关键词
Fock space; weighted composition operator; normaloid; cohyponormal; norm; closed range; RANGE COMPOSITION OPERATORS; HARDY;
D O I
10.7153/oam-2019-13-34
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study weighted composition operators on the Fock space. We show that a weighted composition operator is cohyponorma if and only if it is normal. Moreover, we give a complete characterization of closed range weighted composition operators. Finally, we find norms of some weighted composition operators.
引用
收藏
页码:461 / 469
页数:9
相关论文
共 50 条
  • [31] 2-complex symmetric weighted composition operators on Fock space
    Bai, Hong-bin
    Jiang, Zhi-jie
    Hu, Xiao-bo
    Li, Zuo-an
    [J]. AIMS MATHEMATICS, 2023, 8 (09): : 21781 - 21792
  • [32] Complex symmetric weighted composition operators on the Fock space in several variables
    Pham Viet Hai
    Khoi, Le Hai
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (03) : 391 - 405
  • [33] Spectrum of Normal Weighted Composition Operators on the Fock Space Over ℂN
    Li Xia Feng
    Lian Kuo Zhao
    [J]. Acta Mathematica Sinica, English Series, 2019, 35 : 1563 - 1572
  • [34] Numerical Ranges of Normal Weighted Composition Operators on the Fock Space of CN
    Lang, Lili
    Zhao, Liankuo
    [J]. JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [35] A Class of Normaloid Weighted Composition Operators on the Fock Space over C
    Santhoshkumar, Chandrasekaran
    Veluchamy, Thirumalaisamy
    [J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2021, 61 (04): : 889 - 896
  • [36] Spectrum of Normal Weighted Composition Operators on the Fock Space Over C
    Li Xia FENG
    Lian Kuo ZHAO
    [J]. Acta Mathematica Sinica,English Series, 2019, (09) : 1563 - 1572
  • [37] Self-adjoint and hyponormal weighted composition operators on the Fock space
    Jiang, Zhi-jie
    [J]. AIMS MATHEMATICS, 2024, 9 (09): : 24989 - 24997
  • [38] A Class of Normal Weighted Composition Operators on the Fock Space of C~n
    Lian Kuo ZHAO
    [J]. ActaMathematicaSinica, 2015, 31 (11) - 1797
  • [39] Spectrum of Normal Weighted Composition Operators on the Fock Space Over CN
    Feng, Li Xia
    Zhao, Lian Kuo
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2019, 35 (09) : 1563 - 1572