Disjoint Distributional Chaos in Frechet Spaces

被引：1
|
作者：
Kostic, Marko [1 ]
机构：
[1] Univ Novi Sad, Fac Tech Sci, Trg D Obradovica 6, Novi Sad 21125, Serbia
来源：
RESULTS IN MATHEMATICS | 2020年 / 75卷 / 03期
关键词：
Disjoint distributional chaos; disjoint irregular vectors; backward shift operators; weighted translation operators on locally compact groups; Frechet spaces; WEIGHTED SHIFTS; OPERATORS; INVARIANT;
D O I：
10.1007/s00025-020-01210-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce two different notions of disjoint distributional chaos for sequences of continuous linear operators in Frechet spaces. We focus special attention to the analysis of some specific classes of linear continuous operators having a certain disjoint distributionally chaotic behaviour, providing also a great number of illustrative examples and applications of our abstract theoretical results.
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页数：22
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