Topological structure of the space of composition operators on $L^\infty$ of an unbounded, locally finite metric space
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2022
- DOI:
- 10.48550/arXiv.2207.09009
- arXiv:
- arXiv:2207.09009
- Bibcode:
- 2022arXiv220709009A
- Keywords:
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- Mathematics - Functional Analysis;
- Mathematics - General Topology;
- primary: 47B33;
- secondary: 47B38
- E-Print:
- in submission