Supercyclic properties of extended eigenoperators of the differentiation operator on the space of entire functions

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URI: https://hdl.handle.net/10902/34890
ISSN: 1422-6383
ISSN: 1420-9012
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Autoría
González Ortiz, ManuelAutoridad Unican; León Saavedra, Fernando; Romero de la Rosa, María Pilar
Fecha
2025-02
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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
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Results in Mathematics, 2025, 80(1), 2
Editorial
Springer
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Palabras clave
Space of entire functions
Differentiation operator
Eigenoperators
Supercyclic operators
Hypercyclic subspaces
Resumen/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.
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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.Excepto si se señala otra cosa, la licencia del ítem se describe como This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.