Hypercyclic algebras for convolution and composition operators |
| |
Authors: | J Bès JA Conejero D Papathanasiou |
| |
Institution: | 1. Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA;2. Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, E-46022 Valencia, Spain |
| |
Abstract: | 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 , , or , where . In contrast, weighted composition operators on function algebras of analytic functions on a plane domain fail to support supercyclic algebras. |
| |
Keywords: | 47A16 46E10 Hypercyclic algebras Convolution operators Composition operators Hypercyclic subspaces |
本文献已被 ScienceDirect 等数据库收录! |
|