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

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 op...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2024-03, Vol.73 (2), p.715-729
Main Authors: Allen, Robert F., George, Whitney, Pons, Matthew A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-023-00948-7