Supercyclic Properties of Extended Eigenoperators of the Differentiation Operator on the Space of Entire Functions

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URI: http://hdl.handle.net/10498/35997

DOI: 10.1007/S00025-024-02317-X

ISSN: 1420-9012

ISSN: 1422-6383

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Author/s
González, ManuelAuthority UCA; León Saavedra, FernandoAuthority UCA; Rosa Durán, MaríaAuthority UCA
Date
2025
Department
Matemáticas
Source
Results in Mathematics - Vol. 80 n. 1
Abstract
A continuous linear operator L defined on the space of entire functions H(C) is said to be an extended λ-eigenoperator of the differentiation operator D provided DL=λLD. Here we fully characterize when an extended λ-eigenoperator of D is supercyclic, it has a hypercyclic subspace or it has a supercyclic subspace.
Subjects
differentiation operator; eigenoperators; hypercyclic subspaces; Space of entire functions; supercyclic operators
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Atribución 4.0 Internacional
This work is under a Creative Commons License Atribución 4.0 Internacional