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Martingale transforms and the geometry of Banach spaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 860)

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References

  1. Aldous, D. J. (1979). Unconditional bases and martingales in Lp(F). Math. Proc. Cambridge Phil. Soc. 85, 117–123.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Burkholder, D. L. (1966). Martingale transforms. Ann. Math. Statist. 37, 1494–1504.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Burkholder, D. L. (1980). A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional. Manuscript submitted to the Ann. Probability.

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  4. Jordan, P., and J. von Neumann (1935). On inner products in linear metric spaces. Ann. of Math. (2) 36, 719–723.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Maurey, B. (1975). Système de Haar. Seminaire Maurey-Schwartz, 1974–1975, Ecole Polytechnique, Paris.

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  6. Pisier, G. (1975). Un exemple concernant la super-réflexivité. Seminaire Maurey-Schwartz, 1974–1975, Ecole Polytechnique, Paris.

    MATH  Google Scholar 

  7. Pisier, G. (1975). Martingales with values in uniformly convex spaces. Israel J. Math. 20, 326–350.

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© 1981 Springer-Verlag

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Burkholder, D.L. (1981). Martingale transforms and the geometry of Banach spaces. In: Beck, A. (eds) Probability in Banach Spaces III. Lecture Notes in Mathematics, vol 860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090607

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  • DOI: https://doi.org/10.1007/BFb0090607

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10822-1

  • Online ISBN: 978-3-540-38710-7

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