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Weighted composition operators of \(C_0 (X)\)’s. (English) Zbl 0936.47011
The authors prove that into isometries and disjointness preserving linear maps from \(C_0(X)\) into \(C_0(Y)\) are essentially weighted composition operators \(Tf= h\cdot f\circ \varphi\) for some continuous map \(\varphi\) and some continuous scalar-valued function \(h\).

MSC:
47B33 Linear composition operators
47B38 Linear operators on function spaces (general)
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