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Fatou¡¯S Lemma For Unbounded Gelfand Integrable Mappings

  • Bernard Cornet

    (Department of Economics, The University of Kansas)

  • V. F. Martins-Da-Rocha

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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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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  1. Araujo, Aloisio & Martins-da-Rocha, Victor-Filipe & Monteiro, Paulo K., 2004. "Equilibria in reflexive Banach lattices with a continuum of agents," Economics Papers from University Paris Dauphine 123456789/6273, Paris Dauphine University.
  2. 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.
  3. 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.
  4. 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.
  5. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
  6. Joseph M. Ostroy & William R. Zame, 1991. "Non-Atomic Economies and the Boundaries of Perfect Competition," UCLA Economics Working Papers 502R, UCLA Department of Economics.
  7. 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.
  8. Bernard Cornet & Jean-Philippe Medecin, 2000. "Existence of General Equilibrium for Spatial Economies," Econometric Society World Congress 2000 Contributed Papers 1107, Econometric Society.
  9. Artstein, Zvi, 1979. "A note on fatou's lemma in several dimensions," Journal of Mathematical Economics, Elsevier, vol. 6(3), pages 277-282, December.
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