The imaginary point spectrum and hypercyclicity

被引：27

作者：

EL Mourchid, Samir ^{[1
]}

机构：

[1] Fac Sci Semlalia, Dept Math, Marrakech, Morocco

来源：

SEMIGROUP FORUM | 2006年 / 73卷 / 02期

关键词：

hypercyclicity; C-0-semigroups; chaotic linear semigroups; hypercyclicity criterion;

D O I：

10.1007/s00233-005-0533-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a generator of a C-o-semigroup T(.) on a separable Banach space. Under suitable conditions on the imaginary point spectrum of A, sigma(p)(A) boolean AND iR, we show that T(.) is hypercyclic.

引用

页码：313 / 316

页数：4

共 9 条

[1] A generalization of Desch-Schappacher-Webb criteria for chaos [J].

Banasiak, J ;

Moszynski, M .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 12 (05) :959-972

[2] Topological chaos for birth-and-death-type models with proliferation [J].

Banasiak, J ;

Lachowicz, M .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2002, 12 (06) :755-775

[3]

BAYART F, 2004, ROLE UNIMODULAR POIN

[4]

BAYART F, IN PRESS T AM MATH S

[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]

EL Mourchid S, 2005, DISCRETE CONT DYN S, V13, P271

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

GODEFROY, G ;

SHAPIRO, JH .

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

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

Grosse-Erdmann, KG .

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

[9]

GROSSEERDMANN KG, 2003, RACSAM REV R ACAD A, V97, P273

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