Commutation relations and hypercyclic operators

Details Commutation relations and hypercyclic operators Commutation relations and hypercyclic operators

2011-02-24

arxiv.org/abs/1102.5011v4

Mathematics

Complex Variables

9 pages

Scientific paper

A well-known theorem of Godefroy and Shapiro states that every continuous
linear operator on $H(\mathbb{C}^N)$ that commutes with all translations and is
not a scalar multiple of the identity is hypercyclic. In this paper we
establish hypercyclicity of continuous linear operators on $H(\mathbb{C})$ that
satisfy more general commutation relations.

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