A note on frequent hypercyclicity of operators that λ -commute with the differentiation operator

Identificadores
URI: http://hdl.handle.net/10498/27614
DOI: 10.1007/s10958-022-05989-4
ISSN: 1573-8795
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2022Department
MatemáticasSource
Journal of Mathematical Sciences (United States)Abstract
A continuous linear operator on a Fréchet space X is frequently hypercyclic if there exists a vector x such that for any nonempty open subset U⊂ X the set of n∈ N∪ { 0 } for which Tnx∈ U has a positive lower density. Here we determine when an operator that commutes up to a factor with the differentiation operator D, defined on the space of entire functions, is frequently hypercyclic.
Subjects
Space of entire functions; Differentiation operator; Extended eigenoperators; Frequently hypercyclic operatorsCollections
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