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