# zbMATH — the first resource for mathematics

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)
Full Text: