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The Fatou inequality revisited. — Variations on a theme by A. Dvoretzky

Part of the Lecture Notes in Mathematics book series (LNM,volume 1153)

Keywords

  • Cluster Point
  • Banach Limit
  • Lebesgue Decomposition
  • Integrable Random Variable

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References

  1. Austin, D. G., Edgar, G. A., and Ionescu Tulcea, A., Pointwise convergence in terms of expectations, Z. Wahr. verw. Geb., 30, 17–26 (1974).

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  2. Baxter, J. R., Convergence of stopped random variables, Adv. Math., 21, 112–115 (1976).

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  3. Bellow, A., Submartingale characterization of measurable cluster points. Probability in Banach spaces. Advances in Probability and Related Topics 4, 69–80 (1978).

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  4. Dunford, N., Schwartz, J. T., Linear operators, Part I. New York: Interscience (1958).

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  5. Dvoretzky, A., On the Fatou Inequality, Preprint (1983).

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  6. Meyer, P. A., Dellacherie, C., Théorie des martingales, Hermann, Paris (1980).

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  7. Neveu, J., Martingales à temps discret, Masson, Paris (1972).

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© 1985 Springer-Verlag

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Austin, D., Bellow, A., Bouzar, N. (1985). The Fatou inequality revisited. — Variations on a theme by A. Dvoretzky. In: Beck, A., Dudley, R., Hahn, M., Kuelbs, J., Marcus, M. (eds) Probability in Banach Spaces V. Lecture Notes in Mathematics, vol 1153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074944

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  • DOI: https://doi.org/10.1007/BFb0074944

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15704-5

  • Online ISBN: 978-3-540-39645-1

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