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

共 33 条

[1] Bayart F, 2009, CAMB TRACT MATH, P1, DOI 10.1017/CBO9780511581113
[2] Topological transitivity and mixing of composition operators
Bayart, Frederic
Darji, Udayan B.
Pires, Benito
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 465 (01) : 125 - 139
[3] Mixing operators and small subsets of the circle
Bayart, Frederic
Matheron, Etienne
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2016, 715 : 75 - 123
[4] Li-Yorke and distributionally chaotic operators
Bermudez, T.
Bonilla, A.
Martinez-Gimenez, F.
Peris, A.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (01) : 83 - 93
[5] Bernal-Gonzalez L., 1995, COMPLEX VARIABLES TH, V27, P47, DOI DOI 10.1080/17476939508814804
[6] On shadowing and chain recurrence in linear dynamics
Bernardes Jr, Nilson C.
Peris, Alfred
[J]. ADVANCES IN MATHEMATICS, 2024, 441
[7] A GENERALIZED GROBMAN-HARTMAN THEOREM
Bernardes Jr, Nilson C.
Messaoudi, Ali
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (10) : 4351 - 4360
[8] Mean Li-Yorke chaos in Banach spaces
Bernardes, N. C., Jr.
Bonilla, A.
Peris, A.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 278 (03)
[9] Bernardes NC, 2020, MONATSH MATH, V191, P13, DOI 10.1007/s00605-019-01341-2
[10] Li-Yorke chaos in linear dynamics
Bernardes, N. C., Jr.
Bonilla, A.
Mueller, V.
Peris, A.
[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2015, 35 : 1723 - 1745

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