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Representation theorem for local operators in the space of continuous and monotone functions |
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| Authors: | Ma?gorzata Wró bel |
| Affiliation: | Institute of Mathematics and Computer Science, Jan D?ugosz University, Armii Krajowej 13/15, PL 42200 Cz?stochowa, Poland |
| Abstract: | We prove that every locally defined operator mapping the space of nondecreasing continuous functions into itself is a Nemytskii composition operator. |
| Keywords: | Local operator Nemytskii superposition operator Monotone function Continuous function |
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