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FATOU¡¯S LEMMA FOR UNBOUNDED GELFAND INTEGRABLE MAPPINGS

Bernard Cornet and V. Filipe Martins-da-Rocha ()

No 200503, WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS from University of Kansas, Department of Economics

Abstract: 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

Keywords: Fatou¡¯s lemma; Banach space; dual space; Gelfand integral; Koml¢¥os limit. (search for similar items in EconPapers)
Date: 2005-02, Revised 2005-02
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