Mean square convergence of weak martingales

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


Banach Space Covariance Operator Radon Measure Gaussian Measure Dual Basis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations