Li-Yorke chaos in linear dynamics

被引：54

作者：

Bernardes, N. C., Jr. ^{[1
]}

Bonilla, A. ^{[2
]}

Mueller, V. ^{[3
]}

Peris, A. ^{[4
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, Dept Matemat Aplicada, BR-21945970 Rio De Janeiro, RJ, Brazil

[2] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Tenerife, Spain

[3] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

[4] Univ Politecn Valencia, IUMPA, Dept Matemat Aplicada, Valencia 46022, Spain

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2015年 / 35卷

关键词：

HYPERCYCLIC OPERATORS; DISTRIBUTIONAL CHAOS; INVARIANT;

D O I：

10.1017/etds.2014.20

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain new characterizations of Li-Yorke chaos for linear operators on Banach and Frechet spaces. We also offer conditions under which an operator admits a dense set or linear manifold of irregular vectors. Some of our general results are applied to composition operators and adjoint multipliers on spaces of holomorphic functions.

引用

页码：1723 / 1745

页数：23

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