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arXiv · 2207.09009

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

Robert F. Allen·Whitney George·Matthew A. Pons
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Abstract

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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Robert F. Allen, Whitney George, Matthew A. Pons. 2022-07-25. Topological structure of the space of composition operators on $L^\infty$ of an unbounded, locally finite metric space. https://arxiv.org/abs/2207.09009

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