Representation of Dimant strongly (p, σ)-continuous multilinear operators by trace duality

  • Elhadj Dahia Laboratoire de Mathématiques et Physique Appliquées, Ecole Normale Supérieure de Bousaada. 28001 Bousaada, Algeria; and Laboratoire d’Analyse Fonctionnelle et Géométrie des Espaces, University of M’sila, Algeria. E-mail: dahia.elhadj@ens-bousaada.dz

Résumé

We introduce a tensor norm which represents the space of Dimant strongly (p, σ)-continuous multilinear operators by
trace duality.


Keywords: Tonsorial representation, tensor norm, trace duality.
MSC: Primary 46A32; Secondary 47B10


REFERENCES
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Communicated Editor: Guediri Hocine
Manuscript received Dec 26, 2023; revised Jan 28, 2024; accepted Feb 03, 2024; published May 11, 2024.

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1Elhadj Dahia, corresponding author, Laboratoire de Mathématiques et Physique Appliquées, Ecole Normale Supérieure de Bousaada. 28001 Bousaada, Algeria; and Laboratoire d’Analyse Fonctionnelle et Géométrie des Espaces, University of M’sila, Algeria. E-mail: dahia.elhadj@ens-bousaada.dz

Publiée
2024-05-11
Comment citer
DAHIA, Elhadj. Representation of Dimant strongly (p, σ)-continuous multilinear operators by trace duality. International Journal of Applied Mathematics and Simulation, [S.l.], v. 1, n. 1, mai 2024. ISSN 2992-1708. Disponible à l'adresse : >https://revues.univ-biskra.dz/index.php/ijams/article/view/4551>. Date de consultation : 21 nov. 2024
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