Topologically transitive sequence of cosine operators on Orlicz spaces

被引：3

作者：

Akbarbaglu, Ibrahim ^{[1
]}

Azimi, Mohammad Reza ^{[2
]}

Kumar, Vishvesh ^{[3
]}

机构：

[1] Farhangian Univ, Dept Math, Tehran, Iran

[2] Univ Maragheh, Fac Sci, Dept Math, Maragheh 5518183111, Iran

[3] Univ Ghent, Dept Mathe Anal Log & Discrete Math, Krijgslaan 281,Bldg S8, B-9000 Ghent, Belgium

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2021年 / 12卷 / 01期

关键词：

Hypercyclicity; Topologically transitive; Topologically mixing; Weighted translation operator; Orlicz space; Locally compact group; 47A16; 46E30; 22D05;

D O I：

10.1007/s43034-020-00088-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a Young function phi and a locally compact second countable group G, let L phi (G) denote the Orlicz space onG. In this paper, we present a necessary and sufficient condition for the topological transitivity of a sequence of cosine operators {<mml:msub>Cn}n=1 infinity</mml:msubsup>:={<mml:mfrac>12</mml:mfrac>(Tg,wn+Sg,wn)}n=1 infinity, defined on L phi (G). We investigate the conditions for a sequence of cosine operators to be topologically mixing. Further, we go on to prove a similar result for the direct sum of a sequence of cosine operators. Finally, we give an example of topologically transitive sequence of cosine operators.

引用

页数：14