Admissible operators for sun-dual semigroups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909946859225088 |
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| author | Arora, Sahiba Schwenninger, Felix L. |
| author_facet | Arora, Sahiba Schwenninger, Felix L. |
| contents | 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 $L^1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02150 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Admissible operators for sun-dual semigroups Arora, Sahiba Schwenninger, Felix L. Functional Analysis 93C25, 93C05, 47D06 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 $L^1$. |
| title | Admissible operators for sun-dual semigroups |
| topic | Functional Analysis 93C25, 93C05, 47D06 |
| url | https://arxiv.org/abs/2408.02150 |