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

paper

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

arXiv:2207.09009

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.

in submission

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

Abstract

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