Common hypercyclic vectors for composition operators

2002/05/27 by Frédéric Bayart, Frederic Bayart, Bayart, Frederic · 1 citation
Computer Science · Mathematics · #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #Matrix Theory and Algorithms #math.FA #msc:47A16 #msc:47B33

paper · pdf · doi:10.48550/arxiv.math/0205277

16 pages

arxiv created 2002/06/18 · arxiv updated 2009/11/30

Abstract

We study the existence of a common hypercyclic vector for different families of composition operators.

Cited by

• Common hypercyclic functions for translation operators with large gaps\n II

Related

• Common upper frequent hypercyclicity
• Existence of common hypercyclic vectors for translation operators
• Hypercyclic algebras
• Common hypercyclic vectors and dimension of the parameter set
• Disjoint frequent hypercyclicity of composition operators