Rotations of Hypercyclic and Supercyclic Operators

被引：0

作者：

Fernando León-Saavedra

Vladimír Müller

机构：

[1] Universidad de Cádiz,Dpto. de Matemáticas, Facultad de Ciencias

[2] Czech Academy of Sciences,Mathematical Institute

来源：

Integral Equations and Operator Theory | 2004年 / 50卷

关键词：

47A16; Hypercyclic vectors; supercyclic vectors;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let T ∈ B(X) be a hypercyclic operator and λ a complex number of modulus 1. Then λ T is hypercyclic and has the same set of hypercyclic vectors as T. A version of this results gives for a wide class of supercyclic operators that x ∈ X is supercyclic for T if and only if the set {tTnx : t > 0, n = 0, 1, ...} is dense in X. This gives answers to several questions studied in the literature.

引用

页码：385 / 391

页数：6