Keywords
- Banach Space
- Strict Sense
- Dyadic Interval
- Borel Space
- Operation Versus
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.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Austin, D. G., Edgar, G. A., and Ionescu Tulsea, A., "Pointwise convergence in terms of expectations," Zeit. Wahrs. verw. Gebiete, 30, pp. 17–26 (1974).
Bellow, A., "Uniform amarts: A class of asymptotic martingales for which strong almost sure convergence obtains," Zeit. Wahrs. verw. Gebiete, 41, pp. 177–191 (1978).
Bellow, A., "Some aspects of the theory of vector-valued amarts," Proc. Dublin Conference 1977, Vector space measures and applications I, Lecture Notes in Math. No. 644, pp. 57–67, Springer-Verlag (1978).
Bellow, A., "Sufficiently rich sets of stopping times, measurable cluster points and submartingales," Séminaire sur la géométrie des espaces de Banach, École Polytechnique 1977–1978, pp. A.1–A.11.
Brunel, A., and Sucheston, L., "Sur les amarts à valeurs vectorielles," C. R. Acad. Sci. Paris, 283, Série A, pp. 1037–1039 (1976).
Chacon, R. V. and Sucheston, L., "On convergence of vector-valued asymptotic martingales," Zeit. Wahrs. verw. Gebiete, 33, pp. 55–59 (1975).
Chatterji, S. D., "Martingale convergence and the Radon-Nikodym theorem in Banach spaces," Math. Scandinavica, 22, pp. 21–41 (1968).
Dvoretzky, A., "On stopping time directed convergence," Bull. Amer. Math. Soc., 82, No. 2, pp. 347–349 (1976).
Edgar, G. A., and Sucheston, L., "Amarts: A class of asymptotic martingales (Discrete parameter)," J. Multivariate Anal., 6, pp. 193–221 (1976).
Edgar, G. A., and Sucheston, L., "Martingales in the limit and amarts," Proc. Amer. Math. Soc., 67, pp. 315–320 (1977).
Meyer, P. A., Probability and potentials, Blaisdell, Waltham, Mass. 1966.
Neveu, J., Martingales à temps discret, Masson, Paris, 1972.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag
About this paper
Cite this paper
Bellow, A., Dvoretzky, A. (1979). A characterization of almost sure convergence. In: Beck, A. (eds) Probability in Banach Spaces II. Lecture Notes in Mathematics, vol 709. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071947
Download citation
DOI: https://doi.org/10.1007/BFb0071947
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09242-1
Online ISBN: 978-3-540-35341-6
eBook Packages: Springer Book Archive
