Admissible operators for sun-dual semigroups

Sahiba Arora; Felix L. Schwenninger

doi:10.48550/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 $L^1$.

Original language	English
Publisher	ArXiv.org
Number of pages	15
DOIs	https://doi.org/10.48550/arXiv.2408.02150
Publication status	Published - 4 Aug 2024

Keywords

math.FA
93C25, 93C05, 47D06

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10.48550/arXiv.2408.02150

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Admissible operators for sun-dual semigroups

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