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arXiv · 2207.13429

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

Manuel González·Fernando León-Saavedra·María Pilar Romero de la Rosa
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Abstract

A continuous linear operator L defined on the space of entire functions H(C) is said to be an extended $lambda$-eigenoperator of the differentiation operator D provided DL = $lambda$LD. Here we fully characterize when an extended $lambda$-eigenoperator of D is supercyclic, it has a hypercyclic subspace or it has a supercyclic subspace.

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Manuel González, Fernando León-Saavedra, María Pilar Romero de la Rosa. 2022-07-27. Supercyclic properties of extended eigenoperators of the differentiation operator on the space of entire functions. https://arxiv.org/abs/2207.13429

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