Sun dual theory for bi-continuous semigroups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914819652714496 |
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| author | Kruse, Karsten Schwenninger, Felix L. |
| author_facet | Kruse, Karsten Schwenninger, Felix L. |
| contents | The sun dual space corresponding to a strongly continuous semigroup is a known concept when dealing with dual semigroups, which are in general only weak$^*$-continuous. In this paper we develop a corresponding theory for bi-continuous semigroups under mild assumptions on the involved locally convex topologies. We also discuss sun reflexivity and Favard spaces in this context, extending classical results by van Neerven. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2203_12765 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Sun dual theory for bi-continuous semigroups Kruse, Karsten Schwenninger, Felix L. Functional Analysis 47D06, 46A70 The sun dual space corresponding to a strongly continuous semigroup is a known concept when dealing with dual semigroups, which are in general only weak$^*$-continuous. In this paper we develop a corresponding theory for bi-continuous semigroups under mild assumptions on the involved locally convex topologies. We also discuss sun reflexivity and Favard spaces in this context, extending classical results by van Neerven. |
| title | Sun dual theory for bi-continuous semigroups |
| topic | Functional Analysis 47D06, 46A70 |
| url | https://arxiv.org/abs/2203.12765 |