
arXiv: math/9607212
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 $Tf = h\cdot f\circ��$ for some continuous map $��$ and some continuous scalar-valued function $h$.
Mathematics - Functional Analysis, Applied Mathematics, Linear composition operators, Linear operators on function spaces (general), disjointness preserving linear maps from \(C_0(X)\) into \(C_0(Y)\), FOS: Mathematics, 46E15, into isometries, Analysis, weighted composition operators, Functional Analysis (math.FA)
Mathematics - Functional Analysis, Applied Mathematics, Linear composition operators, Linear operators on function spaces (general), disjointness preserving linear maps from \(C_0(X)\) into \(C_0(Y)\), FOS: Mathematics, 46E15, into isometries, Analysis, weighted composition operators, Functional Analysis (math.FA)
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