In this paper we characterize mixing composition operators acting on the space OM(R) O M ( R ) of slowly increasing smooth functions. Moreover we relate the mixing property of those operators with the solvability of Abel’s functional equation and we give a sufficient condition for sequential hypercyclicity of composition operators on OM(R) O M ( R ) . This is used to prove that many mixing composition operators are hypercyclic.
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Kalmes et al. (2024) studied this question.
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