Existence of hypercyclic polynomials on complex Frechet spaces

被引：6
作者：
Martinez-Gimenez, Felix
Peris, Alfredo [1 ]
机构：
[1] Univ Politecn Valencia, Dept Matemat Aplicada, Valencia 46022, Spain
来源：
TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 18期
关键词：
Hypercyclic vectors; Infinite dimensional holomorphy; Polynomials; BANACH-SPACES; CHAOTIC POLYNOMIALS; OPERATORS; SEMIGROUPS; CRITERION;
D O I：
10.1016/j.topol.2009.02.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that every complex separable infinite dimensional Frechet space admits hypercyclic polynomials of any degree. This result complements the analogous one for the linear case, due to Ansari, Bernal, Bonet and Peris. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：3007 / 3010
页数：4
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