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Strong laws of large numbers for independent sequences of Banach space-valued random variables

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Probability in Banach Spaces

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 526))

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References

  1. Anatole Beck, Une loi forte des grandes nombres dans des espaces de Banach uniformément convexes, Ann. Inst. H. Poincare 16 (1958) pp. 35–45.

    MathSciNet  MATH  Google Scholar 

  2. Anatole Beck, A convexity condition in Banach spaces and the strong law of large numbers, Proc. Amer. Math. Soc. 13 (1962) pp. 329–334.

    Article  MathSciNet  MATH  Google Scholar 

  3. Anatole Beck, On the strong law of large numbers, “Ergodic Theory”, ed. by F. B. Wright, Academic Press, New York, 1963, pp. 21–53.

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  4. Anatole Beck and Daniel P. Giesy, P-uniform convergence and a vector-valued strong law of large numbers, Trans. Amer. Math. Soc. 147 (1970) pp. 541–559.

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  5. Anatole Beck, Daniel P. Giesy, and Peter Warren, Recent developments in the theory of strong laws of large numbers for vector-valued random variables, Teoriya Veroyatnostei i ee Primeneniya, 20 (1975) pp. 126–133.

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  6. Anatole Beck and J. T. Schwartz, A vector-valued random ergodic theorem, Proc. Amer. Math. Soc. 8 (1957) pp. 1049–1059.

    Article  MathSciNet  MATH  Google Scholar 

  7. Nelson Dunford and J. T. Schwartz, Linear Operators, Part I, Interscience, New York, 1958.

    MATH  Google Scholar 

  8. Daniel P. Giesy, Some internal structure and sharpness theorems in vector-valued strong law of large number theory, to appear.

    Google Scholar 

  9. Daniel P. Giesy, A vector-valued strong law of large numbers using the weak topology, to appear.

    Google Scholar 

  10. Robert C. James, A non-reflexive Banach space that is uniformly nonoctrahedral, Israel J. Math 18 (1974), pp. 145–155.

    Article  MathSciNet  Google Scholar 

  11. Michel Loève, Probability Theory, Van Nostrand, New York, 1963.

    MATH  Google Scholar 

  12. E. Mourier, Élements Aléatoires dans un espace de Banach, Ann. Inst. H. Poincaré 13 (1953).

    Google Scholar 

  13. Gilles Pisier, (Center de Mathématiques de l'Ecole Polytechnique 17, rue Descartes—75230 Paris Cedex 05—France) Private communications, July 21–25, 1975, Oberwolfach, Germany.

    Google Scholar 

  14. W. A. Woyczynski, Random series and laws of large numbers in some Banach spaces, Theor. Prob. Appl. 18 (1973) pp. 361–367.

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Authors and Affiliations

  1. Norfolk State College, Norfolk, Virginia

    Daniel P. Giesy

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  1. Daniel P. Giesy
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Anatole Beck

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© 1976 Springer-Verlag

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Giesy, D.P. (1976). Strong laws of large numbers for independent sequences of Banach space-valued random variables. In: Beck, A. (eds) Probability in Banach Spaces. Lecture Notes in Mathematics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082344

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  • DOI: https://doi.org/10.1007/BFb0082344

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07793-0

  • Online ISBN: 978-3-540-38256-0

  • eBook Packages: Springer Book Archive

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