Hypercyclicity of Composition Operators on Discrete Weighted Banach Spaces

被引：0
|
作者：
Robert F. Allen
Flavia Colonna
Rubén A. Martínez-Avendaño
Matthew A. Pons
机构：
[1] University of Wisconsin- La Crosse,Department of Mathematics and Statistics
[2] George Mason University,Department of Mathematical Sciences
[3] Instituto Tecnológico Autónomo de México,Departamento Académico de Matemáticas
[4] North Central College,Department of Mathematics
来源：
Mediterranean Journal of Mathematics | 2019年 / 16卷
关键词：
Composition operators; Hypercyclicity; weighted Banach spaces; Primary 47B33; 47A16; Secondary 47B38;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the hypercyclic composition operators on weighted Banach spaces of functions defined on discrete metric spaces. We show that the only such composition operators act on the “little” spaces. We characterize the bounded composition operators on the little spaces, as well as provide various necessary conditions for hypercyclicity.
引用
收藏
相关论文
共 50 条
  • [1] Hypercyclicity of Composition Operators on Discrete Weighted Banach Spaces
    Allen, Robert F.
    Colonna, Flavia
    Martinez-Avendano, Ruben A.
    Pons, Matthew A.
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (05)
  • [2] FREQUENT HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON CLASSICAL BANACH SPACES
    Han, Shi-An
    Zhang, Liang
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (02) : 277 - 282
  • [3] Weighted composition operators on discrete weighted Banach spaces
    Allen, Robert F.
    Pons, M. A.
    [J]. ACTA SCIENTIARUM MATHEMATICARUM, 2022, 88 (3-4): : 639 - 671
  • [4] Weighted composition operators on discrete weighted Banach spaces
    Robert F. Allen
    Matthew A. Allen
    [J]. Acta Scientiarum Mathematicarum, 2022, 88 : 639 - 671
  • [5] Hypercyclicity of Composition Operators on Banach Spaces of Analytic Functions
    Flavia Colonna
    Rubén A. Martínez-Avendaño
    [J]. Complex Analysis and Operator Theory, 2018, 12 : 305 - 323
  • [6] Hypercyclicity of Composition Operators on Banach Spaces of Analytic Functions
    Colonna, Flavia
    Martinez-Avendano, Ruben A.
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (01) : 305 - 323
  • [7] Hypercyclicity of Weighted Composition Operators on Lp-Spaces
    Azimi, M. R.
    Jabbarzadeh, M. R.
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (04)
  • [8] Disjoint hypercyclic and supercyclic composition operators on discrete weighted Banach spaces
    Xu, Zhiyuan
    Wang, Ya
    Zhou, Zehua
    [J]. COLLECTANEA MATHEMATICA, 2023,
  • [9] Composition Operators on Weighted Banach Spaces of a Tree
    Allen, Robert F.
    Pons, Matthew A.
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (04) : 1805 - 1818
  • [10] Composition Operators on Weighted Banach Spaces of a Tree
    Robert F. Allen
    Matthew A. Pons
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 1805 - 1818
12345