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.
Keywords
Strongly continuous semigroup Perturbation Positive operatorsNotes
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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