Distributionally chaotic translation semigroups

被引：24

作者：

Barrachina, Xavier ^{[1
]}

Peris, Alfred ^{[2
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46022 Valencia, Spain

[2] Univ Politecn Valencia, Dept Matemat Aplicada, IUMPA, E-46022 Valencia, Spain

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2012年 / 18卷 / 04期

关键词：

distributional chaos; C-0-semigroups; translation C-0-semigroup; backward shift operator;

D O I：

10.1080/10236198.2011.625945

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study distributional chaos for the translation C-0-semigroup on weighted L-p-spaces. Some sufficient conditions for distributional chaos expressed in terms of the weight are given. Moreover, we establish a complete analogy between the study on distributional chaos for the translation C-0-semigroup and the corresponding one for backward shifts on weighted sequence spaces.

引用

页码：751 / 761

页数：11

共 22 条

[1]

Albanese A., DISTRIBUTIONAL CHAOS

[2] The three versions of distributional chaos [J].

Balibrea, F ;

Smítal, J ;

Stefánková, M .

CHAOS SOLITONS & FRACTALS, 2005, 23 (05) :1581-1583

[3] ON DEVANEY DEFINITION OF CHAOS [J].

BANKS, J ;

BROOKS, J ;

CAIRNS, G ;

DAVIS, G ;

STACEY, P .

AMERICAN MATHEMATICAL MONTHLY, 1992, 99 (04) :332-334

[4]

Bayart F., 2009, CAMB TRACT MATH, V179

[5] Semigroups of chaotic operators [J].

Bayart, Frederic ;

Bermudez, Teresa .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2009, 41 :823-830

[6] Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces [J].

Bermúdez, T ;

Bonilla, A ;

Conejero, JA ;

Peris, A .

STUDIA MATHEMATICA, 2005, 170 (01) :57-75

[7] 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

[8] Hypercyclic behaviour of operators in a hypercyclic C0-semigroup [J].

Conejero, Jose A. ;

Muller, V. ;

Peris, A. .

JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 244 (01) :342-348

[9] HYPERCYCLIC TRANSLATION C0-SEMIGROUPS ON COMPLEX SECTORS [J].

Conejero, Jose A. ;

Peris, Alfredo .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 25 (04) :1195-1208

[10]

DeLaubenfels R, 2001, ERGOD THEOR DYN SYST, V21, P1411

← 1 2 3 →