论文标题

$ l^\ infty $ in of locked,本地有限的度量空间的构图运算符空间的拓扑结构

Topological structure of the space of composition operators on $L^\infty$ of an unbounded, locally finite metric space

论文作者

Allen, Robert F., George, Whitney, Pons, Matthew A.

论文摘要

我们研究了组成算子的拓扑空间在有限函数的BANACH代数上,在操作员规范拓扑和基本规范拓扑的无限局部有限的度量空间上。此外,我们表征了两个这样的组成算子的差异的紧凑性。

We study properties of the topological space of composition operators on the Banach algebra of bounded functions on an unbounded, locally finite metric space in the operator norm topology and essential norm topology. Moreover, we characterize the compactness of differences of two such composition operators.

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