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Prolongement d'Applications Linéaires Et Applications by Mokni-H

Prolongement d'Applications Linéaires Et Applications

by Mokni-H
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Book cover type: Paperback
  • ISBN13: 9786131555466
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Omniscriptum
  • Publisher Imprint: Omniscriptum
  • Publication Date:
  • Pages: 104
  • Original Price: GBP 35.0
  • Language: French
  • Edition: N/A
  • Item Weight: 164 grams
  • BISAC Subject(s): Functional Analysis

Le théorème de Hahn-Banach ne peut pas ètre appliqué dans certains cadres notamment celui des limites inductives. Alors nous donnons des conditions dans lesquels nous pouvons avoir un prolongement qui préserve la norme sur des applications linéaires. Puis on donne une application dans le cadre de l'Algèbre des germes. Dans un second lieu, on s'interesse à un cas particulier de limites inductive; celui des espaces de fractions. Nous étudions le prolongement des formes linéaires positives qui préserve la normes dans un contexte de C*-algèbre. Ensuite nous donnons une application pour répondre à un cas particulier du problème des moments (une version non commutative). Enfin, nous nous intéressons au prolongement d'applications linéaires complètement positives à valeurs opérateurs toujours dans le cadre des C*-algèbres. Puis nous donnons comme application une réponse à un probleme opératoriel des moments non commutatif.

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