Recurrence of Cosine Operator Functions on Groups

被引：5
|
作者：
Chen, Chung-Chuan [1 ]
机构：
[1] Natl Taichung Univ Educ, Dept Math Educ, Taichung, Taiwan
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2016年 / 59卷 / 04期
关键词：
topologically multiple recurrence; recurrence; topological transitivity; hypercyclicity; cosine operator function; BANACH-SPACES;
D O I：
10.4153/CMB-2016-011-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we study the recurrence and topologically multiple recurrence of a sequence of operators on Banach spaces. In particular, we give a sufficient and necessary condition for a cosine operator function, induced by a sequence of operators on the Lebesgue space of a locally compact group, to be topologically multiply recurrent.
引用
收藏
页码：693 / 704
页数：12
相关论文
共 50 条
  • [1] Topological transitivity for cosine operator functions on groups
    Chen, Chung-Chuan
    TOPOLOGY AND ITS APPLICATIONS, 2015, 191 : 48 - 57
  • [2] Disjoint Topological Transitivity for Cosine Operator Functions on Groups
    Chen, Chung-Chuan
    FILOMAT, 2017, 31 (08) : 2413 - 2423
  • [3] Chaotic Cosine Operator Functions Generated by Group Actions
    Chen, Chung-Chuan
    Tabatabaie, Seyyed Mohammad
    Mohammadi, Ali
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (02): : 465 - 472
  • [4] Chaotic Cosine Operator Functions Generated by Group Actions
    Chung-Chuan Chen
    Seyyed Mohammad Tabatabaie
    Ali Mohammadi
    Iranian Journal of Science and Technology, Transactions A: Science, 2020, 44 : 465 - 472
  • [5] OSTROWSKI INEQUALITIES FOR COSINE AND SINE OPERATOR FUNCTIONS
    Anastassiou, George A.
    MATEMATICKI VESNIK, 2012, 64 (04): : 336 - 346
  • [6] Chaos for Cosine Operator Functions Generated by Shifts
    Chen, Chung-Chuan
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (09):
  • [7] Opial type inequalities for cosine and sine operator functions
    Anastassiou, George A.
    SEMIGROUP FORUM, 2008, 76 (01) : 149 - 158
  • [8] Growth order and stability of semigroups and cosine operator functions
    Shaw, Sen-Yen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 357 (02) : 340 - 348
  • [9] A SPECTRALITY CONDITION FOR INFINITESIMAL GENERATORS OF COSINE OPERATOR FUNCTIONS
    Sahovic, Amina
    Vajzovic, Fikret
    MATEMATICKI VESNIK, 2008, 60 (03): : 193 - 206
  • [10] Opial type inequalities for cosine and sine operator functions
    George A. Anastassiou
    Semigroup Forum, 2008, 76 : 149 - 158
12345