Spectral theory for semigroups on locally convex spaces
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915495295320064 |
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| author | Kruse, Karsten |
| author_facet | Kruse, Karsten |
| contents | In this paper we provide spectral inclusion and mapping theorems for strongly continuous locally equicontinuous semigroups on Hausdorff locally convex spaces. Our results extend the classical spectral inclusion and mapping theorems for strongly continuous semigroups on Banach spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11931 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral theory for semigroups on locally convex spaces Kruse, Karsten Functional Analysis Spectral Theory Primary 47A10, 47A25, 47D06 Secondary 46A70 In this paper we provide spectral inclusion and mapping theorems for strongly continuous locally equicontinuous semigroups on Hausdorff locally convex spaces. Our results extend the classical spectral inclusion and mapping theorems for strongly continuous semigroups on Banach spaces. |
| title | Spectral theory for semigroups on locally convex spaces |
| topic | Functional Analysis Spectral Theory Primary 47A10, 47A25, 47D06 Secondary 46A70 |
| url | https://arxiv.org/abs/2509.11931 |