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Mean square convergence of weak martingales

  • Mariola B. Schwarz
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1193)

Keywords

Banach Space Covariance Operator Radon Measure Gaussian Measure Dual Basis 
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References

  1. [1]
    S. BANACH: Théorie des opŕations linéaires, Warszawa 1932.Google Scholar
  2. [2]
    S.A. CHOBANYAN AND V.I. TARIELADZE: Gaussian characterizations of certain Banach spaces. J. Mult. Anal. 7, 1977.Google Scholar
  3. [3]
    K. MUSIAL: Martingales of Pettis integrable functions. Lecture Notes in Math. 794, 1979.Google Scholar
  4. [4]
    NGUYEN DUY TIEN: On Kolmogorov's three series theorem and mean square convergence of martingales in Banach spaces. Theor. Prob. Appl. 24(2), 1979.Google Scholar
  5. [5]
    W.A. WOYCZYNSKI: Geometry and martingales in Banach spaces. Advances in Prob., Dekker, 1978.Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Mariola B. Schwarz
    • 1
  1. 1.Institut für Mathematische StatistikUniversität GöttingenGöttingen

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