Hypercyclic algebras for convolution and composition operators

被引：6
|
作者：
Bes, J. [1 ]
Conejero, J. A. [2 ]
Papathanasiou, D. [1 ]
机构：
[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA
[2] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46022 Valencia, Spain
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2018年 / 274卷 / 10期
关键词：
Hypercyclic algebras; Convolution operators; Composition operators; Hypercyclic subspaces;
D O I：
10.1016/j.jfa.2018.02.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide an alternative proof to those by Shkarin and by Bayart and Matheron that the operator D of complex differentiation supports a hypercyclic algebra on the space of entire functions. In particular we obtain hypercyclic algebras for many convolution operators not induced by polynomials, such as cos(D), De(D), or e(D) - aI, where 0 < a <= 1. In contrast, weighted composition operators on function algebras of analytic functions on a plane domain fail to support supercyclic algebras. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：2884 / 2905
页数：22
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