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Bibliographic Details
Main Authors: Alam, Ihab, Chalendar, Isabelle, Chami, Fida El, Fricain, Emmanuel, Lefèvre, Pascal
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.19540
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Table of 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 $r\geq 1$.