论文标题

分化操作员在整个功能空间上的扩展特征器的超级环境特性

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

论文作者

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

论文摘要

在整个功能H(c)的空间上定义的连续线性运算符据说是分化操作员d的扩展$ lambda $ eigenoperator d提供了dl = $ lambda $ ld。在这里,我们完全表征了D的扩展$ lambda $ eigenoperator d是超级环保的,它具有超环状子空间或具有超级环保子空间。

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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