Hypercyclic, mixing, and chaotic C0-semigroups induced by semiflows

被引：34

作者：

Kalmes, T. ^{[1
]}

机构：

[1] Univ Trier, D-54286 Trier, Germany

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2007年 / 27卷

关键词：

D O I：

10.1017/S0143385707000144

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize when C(0)-semigroups induced by semiflows are hypercyclic, topologically mixing, or chaotic both on spaces of integrable functions and on spaces of continuous functions. Furthermore, we give characterizations of transitivity for weighted composition operators on these spaces.

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页码：1599 / 1631

页数：33

相关论文

共 19 条

[1] 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

[2] On the existence of chaotic and hypercyclic semigroups on banach spaces [J].

Bermúdez, T ;

Bonilla, A ;

Martinón, A .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (08) :2435-2441

[3]

CONEJERO JA, 2005, THESIS U POLITECNICA

[4]

Deimling K., 2010, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7

[5] Hypercyclic and chaotic semigroups of linear operators [J].

Desch, W ;

Schappacher, W ;

Webb, GF .

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1997, 17 :793-819

[6]

ELSTRODT J, 1996, MAB INTERGRATIONSTHE

[7]

ENGEL KJ, 2000, ONE PARAMETER SEMIGR

[8] OPERATORS WITH DENSE, INVARIANT, CYCLIC VECTOR MANIFOLDS [J].

GODEFROY, G ;

SHAPIRO, JH .

JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 98 (02) :229-269

[9] Hypercyclic and chaotic weighted shifts [J].

Grosse-Erdmann, KG .

STUDIA MATHEMATICA, 2000, 139 (01) :47-68

[10] Universal families and hypercyclic operators [J].

Grosse-Erdmann, KG .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 36 (03) :345-381