Chaotic differential operators

被引：5

作者：

Alberto Conejero, J. ^{[1
]}

Martinez-Gimenez, Felix ^{[1
]}

机构：

[1] Univ Politecn Valencia, Dept Matemat Aplicada, IUMPA, Valencia 46022, Spain

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2011年 / 105卷 / 02期

关键词：

Chaotic operators; Hypercyclic operators; Differential operators; Backward shifts; BACKWARD SHIFT-OPERATORS; F(T); SPACES;

D O I：

10.1007/s13398-011-0026-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give sufficient conditions for chaos of (differential) operators on Hilbert spaces of entire functions. To this aim we establish conditions on the coefficients of a polynomial P(z) such that P(B) is chaotic on the space l(p), where B is the backward shift operator.

引用

页码：423 / 431

页数：9

共 19 条

[1]

Bayart F., 2009, CAMB TRACT MATH, V179

[2] On operators T such that f(T) is hypercyclic [J].

Bermúdez, T ;

Miller, VG .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2000, 37 (03) :332-340

[3] Linear chaos on Frechet spaces [J].

Bonet, J ;

Martínez-Giménez, F ;

Peris, A .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (07) :1649-1655

[4] THE CYCLIC BEHAVIOR OF TRANSLATION OPERATORS ON HILBERT-SPACES OF ENTIRE-FUNCTIONS [J].

CHAN, KC ;

SHAPIRO, JH .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1991, 40 (04) :1421-1449

[5] On the universality of multipliers on H(C) [J].

Conejero, Jose A. ;

Mueller, Vladimir .

JOURNAL OF APPROXIMATION THEORY, 2010, 162 (05) :1025-1032

[6]

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

[7]

DEVANEY RL, 1989, ADDISON WESLEY STUDI

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

GODEFROY, G ;

SHAPIRO, JH .

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

[9]

Grosse-Erdmann K.G., 2011, LINEAR CHAO IN PRESS

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

Grosse-Erdmann, KG .

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

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