Hypercyclicity for the Elements of the Commutant of an Operator

被引：2

作者：

Gonzalez, Manuel ^{[1
]}

Leon-Saavedra, Fernando ^{[2
]}

机构：

[1] Univ Cantabria, Dept Math, Fac Ciencias, Santander 39071, Spain

[2] Univ Cadiz, Dept Math, Jerez de la Frontera 11405, Spain

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2014年 / 80卷 / 02期

关键词：

Hypercyclic operator; Hypercyclic commutant; Cesaro operator; composition operator; CESARO OPERATOR; F(T); SPECTRUM;

D O I：

10.1007/s00020-014-2129-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a bounded linear operator T acting on a complex Banach space, we obtain a spectral condition implying that each operator in the commutant of T different from lambda I has a hypercyclic multiple, and we show several examples of operators satisfying this condition. We emphasize that for some of these examples we do not have a description of the commutant of T.

引用

页码：265 / 274

页数：10

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