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

页码：2884 / 2905

页数：22

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