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.
引用
收藏
页数：22
相关论文
共 43 条
[1]   DISTRIBUTIONAL CHAOS FOR STRONGLY CONTINUOUS SEMIGROUPS OF OPERATORS [J].
Albanese, Angela A. ;
Barrachina, Xavier ;
Mangino, Elisabetta M. ;
Peris, Alfredo .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2013, 12 (05) :2069-2082
[2]   DISTRIBUTIONALLY CHAOTIC FAMILIES OF OPERATORS ON FRECHET SPACES [J].
Alberto Conejero, J. ;
Kostic, Marko ;
Miana, Pedro J. ;
Murillo-Arcila, Marina .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (05) :1915-1939
[3]   A generalization of Desch-Schappacher-Webb criteria for chaos [J].
Banasiak, J ;
Moszynski, M .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 12 (05) :959-972
[4]  
Barrachina X, 2013, THESIS
[5]   Distributional chaos for the Forward and Backward Control traffic model [J].
Barrachina, Xavier ;
Alberto Conejero, J. ;
Murillo-Arcila, Marina ;
Seoane-Sepulveda, Juan B. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 479 :202-215
[6]   Distributionally chaotic translation semigroups [J].
Barrachina, Xavier ;
Peris, Alfred .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2012, 18 (04) :751-761
[7]  
Bayart F, 2009, CAMB TRACT MATH, P1, DOI 10.1017/CBO9780511581113
[8]   Li-Yorke and distributionally chaotic operators [J].
Bermudez, T. ;
Bonilla, A. ;
Martinez-Gimenez, F. ;
Peris, A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (01) :83-93
[9]   Disjoint hypercyclic operators [J].
Bernal-Gonzalez, Luis .
STUDIA MATHEMATICA, 2007, 182 (02) :113-131
[10]   Order of growth of distributionally irregular entire functions for the differentiation operator [J].
Bernal-Gonzalez, Luis ;
Bonilla, Antonio .
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (08) :1176-1186
12345