Weighted composition operators of C₀(X)'s
classification
🧮 math.FA
keywords
compositioncontinuousoperatorssomevarphiweightedcdotcirc
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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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