By S. Kusuoka, A. Yamazaki
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Extra resources for Advances in Mathematical Economics Volume 11 (Advances in Mathematical Economics)
Conv. Univ. 100 (1985) 44 C. Castaing et al. 13. : Integrals, conditional expectations, and martingales of multivalued functions. J. Multivariate Anal. 7, 149–182 (1977) 14. : Core and Equilibria of a Large Economy. Princeton University Press, Princeton (1974) 15. : Weak sequential convergence in L 1 (µ, X ) and an approximate version of Fatou’s lemma. J. Math. Anal. Appl. 114, 569–573 (1986) 16. : Compacité, Convergences and Approximations. Thèse de doctorat d’Etat, Université Mohamed V, Rabat (1996) Adv.
And finishes the proof. 4. 5 in the present section, we know that the multifunction w ∗ − ls f n is measurable. References 1. : Infinite Dimensional Analysis. A Hitchhiker’s Guide, Springer, New York (1999) 2. : Méthodes de troncatures appliquées à des problèmes de convergences faible ou forte dans L 1 . Arch. Ration. Mech. Anal. 117, 167–191 (1992) 3. : Two generalizations of Komlós theorem with Lower Closuretype applications. J. Convex Anal. 3, 25–44 (1996) 4. : Fatou’s Lemma for multifunctions with unbounded values in a dual space.
Nonlinear Convex Anal. 1, 37–71 (1999) 8. : Convex analysis and measurable multifunctions. Lectures Notes in Math 580 (1977) 9. : Fatou’s Lemma for unbounded Gelfand integrable mappings. CERNSEM, Universit Paris 1 (2002) 10. J. : Vector Measures. Mathematical Survey No. 15, AMS, Providence, USA (1977) 11. : Measurability and integrability of the weak upper limit of a sequence of multifunctions. J. Math. Anal. Appl. 153, 226–249 (1989) 12. s. Sém. Anal. Conv. Univ. 100 (1985) 44 C. Castaing et al.