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arXiv · 2404.19540

Eventual Ideal Properties of the Riemann-Liouville Analytic Semigroup

Ihab Alam·Isabelle Chalendar·Fida El Chami·Emmanuel Fricain·Pascal Lefèvre
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Abstract

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 $r\geq 1$.

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Ihab Alam, Isabelle Chalendar, Fida El Chami, Emmanuel Fricain, Pascal Lefèvre. 2024-04-30. Eventual Ideal Properties of the Riemann-Liouville Analytic Semigroup. https://arxiv.org/abs/2404.19540

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