Harish-Chandra's admissibility problem for Banach space representations of $\mathrm{SL}(2,\mathbb{R})$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915990052274176 |
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| author | Astengo, Francesca Cowling, Michael G. Di Blasio, Bianca |
| author_facet | Astengo, Francesca Cowling, Michael G. Di Blasio, Bianca |
| contents | We show that irreducible strongly continuous representations of $\mathrm{SL}(2,\mathbb{R})$ on certain Banach spaces are admissible and that the admissibility of Banach space representations of SL(2,R) and the invariant subspace problem are intimately related. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12626 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Harish-Chandra's admissibility problem for Banach space representations of $\mathrm{SL}(2,\mathbb{R})$ Astengo, Francesca Cowling, Michael G. Di Blasio, Bianca Representation Theory 22E46 We show that irreducible strongly continuous representations of $\mathrm{SL}(2,\mathbb{R})$ on certain Banach spaces are admissible and that the admissibility of Banach space representations of SL(2,R) and the invariant subspace problem are intimately related. |
| title | Harish-Chandra's admissibility problem for Banach space representations of $\mathrm{SL}(2,\mathbb{R})$ |
| topic | Representation Theory 22E46 |
| url | https://arxiv.org/abs/2406.12626 |