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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2404.19540 |
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| _version_ | 1866914299915534336 |
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| author | Alam, Ihab Chalendar, Isabelle Chami, Fida El Fricain, Emmanuel Lefèvre, Pascal |
| author_facet | Alam, Ihab Chalendar, Isabelle Chami, Fida El Fricain, Emmanuel Lefèvre, Pascal |
| contents | In this paper, we revisit the Riemann--Liouville analytic semigroup. In particular, we completely characterize the membership to the Schatten class $S^r$ on $L^2(0,1)$, as well as the membership to the class of nuclear operators on $L^p(0,1)$, $p\geq 1$, and the membership to the ideal of absolutely $r$-summing operators for any $r\geq 1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19540 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eventual Ideal Properties of the Riemann-Liouville Analytic Semigroup Alam, Ihab Chalendar, Isabelle Chami, Fida El Fricain, Emmanuel Lefèvre, Pascal Functional Analysis In this paper, we revisit the Riemann--Liouville analytic semigroup. In particular, we completely characterize the membership to the Schatten class $S^r$ on $L^2(0,1)$, as well as the membership to the class of nuclear operators on $L^p(0,1)$, $p\geq 1$, and the membership to the ideal of absolutely $r$-summing operators for any $r\geq 1$. |
| title | Eventual Ideal Properties of the Riemann-Liouville Analytic Semigroup |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2404.19540 |