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• W2964100689 abstract "We study composition operators on the Schwartz space of rapidly decreasing functions. We prove that such a composition operator is never a compact operator and we obtain necessary or sufficient conditions for the range of the composition operator to be closed. These conditions are expressed in terms of multipliers for the Schwartz class and the closed range property of the corresponding operator considered in the space of smooth functions." @default.
• W2964100689 created "2019-07-30" @default.
• W2964100689 creator A5015470647 @default.
• W2964100689 creator A5030898191 @default.
• W2964100689 date "2018-02-06" @default.
• W2964100689 modified "2023-10-16" @default.
• W2964100689 title "Composition operators on the Schwartz space" @default.
• W2964100689 doi "https://doi.org/10.4171/rmi/989" @default.
• W2964100689 hasPublicationYear "2018" @default.
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