Li-Yorke chaotic weighted composition operators

被引：0

作者：

Bernardes Jr, Nilson C. ^{[1
,2
]}

Vasconcellos, Fernanda M. ^{[3
]}

机构：

[1] Univ Politecn Valencia, Inst Universitari Matemat Pura Aplicada i, Cami Vera S-N,Edif 8E,Acces,4a Planta, Valencia 46022, Spain

[2] Univ Fed Rio Janeiro, Dept Matemat Aplicada, Inst Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, Brazil

[3] Univ Fed Fluminense, Inst Noroeste Fluminense Educ Super, Ave Joao Jasbick,s-No, BR-28470000 Santo Antonio De Padua, RJ, Brazil

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2025年 / 119卷 / 01期

关键词：

Li-Yorke chaos; Weighted composition operators; C-0(X) spaces; L-p(mu) spaces; Frechet sequence spaces; Weighted shifts; DISTRIBUTIONAL CHAOS; SHIFT-OPERATORS; BACKWARD SHIFT; TRANSITIVITY; DYNAMICS;

D O I：

10.1007/s13398-024-01678-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish complete characterizations of the notion of Li-Yorke chaos for weighted composition operators on C-0(X) spaces and on L-p(mu) spaces. As a consequence, we obtain simple characterizations of the Li-Yorke chaotic weighted shifts on c(0) and on l(p) (1 <= p < infinity) that complement previously known results. We also investigate the notion of Li-Yorke chaos for weighted shifts on Frechet sequence spaces. As applications, we obtain characterizations of the Li-Yorke chaotic weighted shifts on K & ouml;the sequence spaces depending only on the entries of the Kothe matrix and the weights of the shift.

引用

页数：22

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