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arXiv · 2408.02150

Admissible operators for sun-dual semigroups

Sahiba Arora·Felix L. Schwenninger
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Abstract

We extend classical duality results by Weiss on admissible operators to settings where the dual semigroup lacks strong continuity. This is possible using the sun-dual framework, which is not immediate from the duality of the input and output maps. This extension enables the testing of admissibility for a broader range of examples, in particular for state space of continuous functions or $L^1$.

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Sahiba Arora, Felix L. Schwenninger. 2024-08-04. Admissible operators for sun-dual semigroups. https://doi.org/10.1007/s00498-025-00430-y

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