Disjoint frequent hypercyclicity of composition operators

被引：2
|
作者：
Bayart, Frederic [1 ]
机构：
[1] Univ Clermont Auvergne, CNRS, UMR 6620, Lab Math Blaise Pascal, Campus Univ Cezeaux,3 Pl Vasarely, F-63178 Aubiere, France
来源：
ADVANCES IN MATHEMATICS | 2023年 / 418卷
关键词：
Composition operators; Disjoint hypercyclicity;
D O I：
10.1016/j.aim.2023.108945
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a sufficient condition for two operators to be disjointly frequently hypercyclic. We apply this criterion to composition operators acting on H(D) or on the Hardy space H2(D). We simplify a result on disjoint frequent hypercyclicity of pseudo shifts of a recent paper of Martin et al. and we exhibit two disjointly frequently hypercyclic weighted shifts.(c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数：48
相关论文
共 50 条
  • [31] Hypercyclicity of Composition Operators on Discrete Weighted Banach Spaces
    Allen, Robert F.
    Colonna, Flavia
    Martinez-Avendano, Ruben A.
    Pons, Matthew A.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (05)
  • [32] DISJOINT SUPERCYCLIC WEIGHTED COMPOSITION OPERATORS
    Liang, Yu-Xia
    Zhou, Ze-Hua
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (04) : 1137 - 1147
  • [33] Disjoint strong transitivity of composition operators
    Karim, Noureddine
    Benchiheb, Otmane
    Amouch, Mohamed
    COLLECTANEA MATHEMATICA, 2024, 75 (01) : 171 - 187
  • [34] Disjoint strong transitivity of composition operators
    Noureddine Karim
    Otmane Benchiheb
    Mohamed Amouch
    Collectanea Mathematica, 2024, 75 : 171 - 187
  • [35] Common upper frequent hypercyclicity
    Mestiri, Monia
    STUDIA MATHEMATICA, 2020, 250 (01) : 1 - 18
  • [36] LINEAR CHAOS AND FREQUENT HYPERCYCLICITY
    Menet, Quentin
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (07) : 4977 - 4994
  • [37] Hypercyclicity of weighted composition operators on the weighted little Bloch space
    Zhou, Hang
    Zhou, Ning
    Han, Shi-An
    Zhou, Ze-Hua
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2020, 31 (01): : 106 - 116
  • [38] Two remarks on frequent hypercyclicity
    Moothathu, T. K. Subrahmonian
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 408 (02) : 843 - 845
  • [39] Disjoint Hypercyclicity and Weighted Translations on Discrete Groups
    Chen, Chung-Chuan
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2017, 60 (04): : 712 - 720
  • [40] Disjoint hypercyclic linear fractional composition operators
    Bes, J.
    Martin, Oe
    Peris, A.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 843 - 856
12345