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Perturbations of positive semigroups on AM-spaces

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Abstract

We consider positive perturbations of positive semigroups on AM-spaces and prove a result which is the dual counterpart of a famous perturbation result of Desch in AL-spaces. As an application we present unbounded perturbations of the shift semigroup.

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Acknowledgements

The authors are grateful to Bálint Farkas, Sven-Ake Wegner and Hans Zwart for fruitful discussions and helpful comments. The first author gratefully acknowledges financial support by the German Academic Exchange Service (DAAD).

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Correspondence to Birgit Jacob.

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Communicated by Abdelaziz Rhandi.

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Bátkai, A., Jacob, B., Voigt, J. et al. Perturbations of positive semigroups on AM-spaces. Semigroup Forum 96, 333–347 (2018). https://doi.org/10.1007/s00233-017-9879-0

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  • DOI: https://doi.org/10.1007/s00233-017-9879-0

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