Regular Article
Weighted Composition Operators ofC0(X)'s

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Abstract

In this paper, we prove that into isometries and disjointness preserving linear maps fromC0(X) intoC0(Y) are essentially weighted composition operatorsTf=h·f∘ϕ for some continuous map ϕ and some continuous scalar-valued functionh.

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This research is partially supported by the National ScienceCouncil of Taiwan, R.O.C., under Grant NSC 82-0208-M 110-071.