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On composition operators on the Wiener algebra of Dirichlet series

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Abstract

We show that the symbol of a bounded composition operator on the Wiener algebra of Dirichlet series does not need to belong to this algebra. Our example even gives an absolutely summing (hence compact) composition operator.
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Dates and versions

hal-03894276 , version 1 (13-12-2022)

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Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza. On composition operators on the Wiener algebra of Dirichlet series. 2022. ⟨hal-03894276⟩
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