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Fatou's Lemma for Unbounded Gelfand Integrable Mappings

Cornet, Bernard; Martins-da-Rocha, Victor-Filipe (2004), Fatou's Lemma for Unbounded Gelfand Integrable Mappings. https://basepub.dauphine.fr/handle/123456789/6909

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Type
Document de travail / Working paper
Date
2004
Publisher
Université Paris-Dauphine
Series title
Cahiers du CEREMADE
Series number
2004-44
Published in
Paris
Pages
17
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Author(s)
Cornet, Bernard
Martins-da-Rocha, Victor-Filipe cc
Abstract (EN)
It is shown that, in the framework of Gelfand integrable mappings, the Fatou-type lemma for integrably bounded mappings, due to Cornet–Medecin [14] and the Fatou-type lemma for uniformly integrable mappings due to Balder [9], can be generalized to mean norm bounded integrable mappings.
Subjects / Keywords
Komlos limit; Gelfand integral; dual space; Banach space; Fatou’s lemma