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

2022/07/19 by Robert F. Allen, Allen, Robert F., Whitney George +3
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #Holomorphic and Operator Theory #primary: 47B33 #secondary: 47B38

paper · pdf · doi:10.48550/arxiv.2207.09009

openalex publication_date 2022/07/19 · openalex created_date 2022/07/21 · openalex updated_date 2026/07/28

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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