论文标题

在离散加权Banach空间上的组成操作员的高度环境

Hypercyclicity of composition operators on discrete weighted Banach spaces

论文作者

Allen, Robert F., Colonna, Flavia, Martínez-Avendaño, Rubén A., Pons, Matthew A.

论文摘要

在本文中,我们研究了在离散度量空间定义的功能的加权BANACH空间上的高环状组成算子。我们表明,唯一这样的构图运营商在“小”空间上行动。我们表征了小空间上有界的组成算子,并为超环境提供了各种必要的条件。

In this paper, we study the hypercyclic composition operators on weighted Banach spaces of functions defined on discrete metric spaces. We show that the only such composition operators act on the "little" spaces. We characterize the bounded composition operators on the little spaces, as well as provide various necessary conditions for hypercyclicity.

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