Title :

EVENTUAL IDEAL PROPERTIES OF THE RIEMANN-LIOUVILLE ANALYTIC SEMIGROUP

Author(s) :

Alam, Ihab [Auteur]
Chalendar, Isabelle [Auteur]
Université Paris-Est Marne-la-Vallée [UPEM]
Chami, Fida [Auteur]
Fricain, Emmanuel [Auteur]
Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Lefèvre, Pascal [Auteur]
Laboratoire de Mathématiques de Lens [LML]

English keyword(s) :

Volterra operator
Riemann-Liouville semigroup
fractional integration
nuclear operators
Schatten class

HAL domain(s) :

Mathématiques [math]/Analyse fonctionnelle [math.FA]

English abstract : [en]

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 ...
Show more >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 $r\geq 1$.Show less >

Language :

Anglais

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Submission date :

2025-01-24T13:38:52Z