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On super-recurrence of strongly continuous semigroup

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Abstract

In this paper, we study the notion of super-recurrence for a strongly continuous semigroup of operators. We establish some results for super-recurrent \(C_{0}\)-semigroups. As an application, we study the super-recurrence of the translation \(C_{0}\)-semigroup.

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Acknowledgements

The authors are grateful to the referee for his helpful comments and suggestions.

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Correspondence to Mohamed Amouch.

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Communicated by Matjaz Omladic.

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Amouch, M., Hassani, H. On super-recurrence of strongly continuous semigroup. Adv. Oper. Theory 7, 49 (2022). https://doi.org/10.1007/s43036-022-00213-1

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  • DOI: https://doi.org/10.1007/s43036-022-00213-1

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