论文标题

一棵树的加权巴拉克空间上的组成操作员

Composition operators on weighted Banach spaces of a tree

论文作者

Allen, Robert F., Pons, Matthew A.

论文摘要

我们在无限树的加权Banach空间上研究构图操作员。我们表征有限的和紧凑的操作员,并确定操作员规范和基本规范。此外,我们研究等距组成算子。

We study composition operators on the weighted Banach spaces of an infinite tree. We characterize the bounded and the compact operators, as well as determine the operator norm and the essential norm. In addition, we study the isometric composition operators.

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