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Weighted composition operators of \(C_0 (X)\)'s - MaRDI portal

Weighted composition operators of \(C_0 (X)\)'s (Q1922975)

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Weighted composition operators of \(C_0 (X)\)'s
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    Weighted composition operators of \(C_0 (X)\)'s (English)
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    25 May 2000
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    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 \(h\).
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    into isometries
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    disjointness preserving linear maps from \(C_0(X)\) into \(C_0(Y)\)
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    weighted composition operators
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