Weighted composition operators of $C_0(X)$'s

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

In this paper, we 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 $h$.

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