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Counterexamples to strong laws of large numbers for Banach space-valued random variables

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Théorie Ergodique

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 532))

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References

  1. Anatole Beck. On the strong law of large numbers, Ergodic theory, Proc. International Sympos., Academic Press, New-York, (1963), 21–53.

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  2. Anatole Beck, and Peter Warren. Weak orthogonality, Pacific J. Math. 41, 1 (1972), 1–11.

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  3. Anatole Beck and Peter Warren. Strong laws of large numbers for weakly orthogonal sequences of Banach space-valued random variables, Annals of Probability, (to appear).

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  4. Anatole Beck, Daniel P. Giesy and Peter Warren. Recent developments in the theory of strong laws of large numbers for vector-valued random variables, (unpublished).

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  5. Nelson Dunford and Jacob T. Schwartz. Linear operators, Part I., Interscience publishers, Inc., New-York, (1966).

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  6. Einer Hille and Ralph S. Phillips. Functional analysis and semigroups., Amer. Math. Soc. Colloquium Publications, no 31.

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  7. W. J. Padgett and Robert L. Taylor. Laws of large numbers for normed linear spaces and certain Frechet spaces, Springer-Verlag, (to appear).

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  8. Robert L. Taylor. Weak laws of large numbers in normed linear spaces, Ann. Math. Statistics 43, 4, (1972), 1267–1274.

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Author information

Author notes

  1. Anatole Beck

    Present address: London School of Economics, University of Wisconsin, Wisconsin, USA

  2. Peter Warren

    Present address: University of Denver, Denver, USA

Authors and Affiliations

    Authors
    1. Anatole Beck
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    2. Peter Warren
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    Editor information

    Jean-Pierre Conze Michael S. Keane

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    © 1976 Springer-Verlag

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    Beck, A., Warren, P. (1976). Counterexamples to strong laws of large numbers for Banach space-valued random variables. In: Conze, JP., Keane, M.S. (eds) Théorie Ergodique. Lecture Notes in Mathematics, vol 532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080168

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    • DOI: https://doi.org/10.1007/BFb0080168

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    • Publisher Name: Springer, Berlin, Heidelberg

    • Print ISBN: 978-3-540-07803-6

    • Online ISBN: 978-3-540-38217-1

    • eBook Packages: Springer Book Archive

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