Hypercyclicity of convolution operators on spaces of entire functions

2011/01/20 by Fábio José Bertoloto, F. J. Bertoloto, Geraldo Botelho +9
Mathematics · #Advanced Banach Space Theory #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.FA

paper · pdf · doi:10.48550/arxiv.1101.3901

arxiv created 2011/01/20 · arxiv updated 2011/01/21

Abstract

In this paper we use Nachbin's holomorphy types to generalize some recent results concerning hypercyclic convolution operators on Fréchet spaces of entire functions of bounded type of infinitely many complex variables.

Related

• Hypercyclicity, existence and approximation results for convolution operators on spaces of entire functions
• Strongly mixing convolution operators on Fréchet spaces of holomorphic functions
• Algebrable sets of hypercyclic vectors for convolution operators
• Chaos in convolution operators on the space of entire functions of infinitely many complex variables
• Hypercyclic behavior of some non-convolution operators on H(ℂ^N)