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Fatou¡¯S Lemma For Unbounded Gelfand Integrable Mappings

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Author Info
Bernard Cornet (Department of Economics, The University of Kansas)
V. F. Martins-Da-Rocha

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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

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Publisher Info
Paper provided by University of Kansas, Department of Economics in its series WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS with number 200503.

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Length: 18 pages
Date of creation: Feb 2005
Date of revision: Feb 2005
Handle: RePEc:kan:wpaper:200503

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Keywords: Fatou¡¯s lemma; Banach space; dual space; Gelfand integral; Koml¢¥os limit.;

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Konard Podczeck, 1997. "Markets with infinitely many commodities and a continuum of agents with non-convex preferences (*)," Economic Theory, Springer, vol. 9(3), pages 385-426.
  2. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295. [Downloadable!] (restricted)
  3. Artstein, Zvi, 1979. "A note on fatou's lemma in several dimensions," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 277-282, December. [Downloadable!] (restricted)
  4. Aloisio Araujo & V. Martins-da-Rocha & Paulo Monteiro, 2004. "Equilibria in reflexive Banach lattices with a continuum of agents," Economic Theory, Springer, vol. 24(3), pages 469-492, October. [Downloadable!] (restricted)
  5. V. Martins-da-Rocha, 2004. "Equilibria in large economies with differentiated commodities and non-ordered preferences," Economic Theory, Springer, vol. 23(3), pages 529-552, March. [Downloadable!] (restricted)
  6. Bernard Cornet & Jean-Philippe Medecin, 2000. "Existence of General Equilibrium for Spatial Economies," Econometric Society World Congress 2000 Contributed Papers 1107, Econometric Society. [Downloadable!]
  7. Ostroy, Joseph M & Zame, William R, 1994. "Nonatomic Economies and the Boundaries of Perfect Competition," Econometrica, Econometric Society, vol. 62(3), pages 593-633, May. [Downloadable!] (restricted)
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  8. Hildenbrand, Werner, 1970. "Existence of Equilibria for Economies with Production and a Measure Space of Consumers," Econometrica, Econometric Society, vol. 38(5), pages 608-23, September. [Downloadable!] (restricted)
  9. Cornet, Bernard & Topuzu, Mihaela & Yildiz, Aysegul, 2003. "Equilibrium theory with a measure space of possibly satiated consumers," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 175-196, June. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Monteiro, Paulo Klinger & Araújo, Aloísio Pessoa de & Martins-da-Rocha, V. F., 2003. "Equilibria in security markets with a continuum of agents," Economics Working Papers (Ensaios Economicos da EPGE) 513, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
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