Skip to main content

Some aspects of the theory of vectorvalued amarts

  • Conference paper
  • First Online:
Vector Space Measures and Applications I

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 644))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. AUSTIN, D.G., EDGAR, G.A., and IONESCU TULCEA, A., "Pointwise convergence in terms of expectations", Zeit. Wahrs. verw. Gebiete 30, p. 17–26 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  2. BAXTER, J. R., "Pointwise in terms of weak convergence", Proc. Amer. Math. Soc. 46, p. 395–398 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  3. BELLOW, A., "On vector-valued asymptotic martingales", Proc. Nat. Acad. Sci. U.S.A. 73, No. 6, p. 1798–1799 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  4. BELLOW, A., "Several stability properties of the class of asymptotic martingales", Zeit. Wahrs. verw. Gebiete 37, p. 275–290 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  5. BELLOW, A., "Les amarts uniformes", C. R. Acad. Sci. Paris, 284, Serie A, p. 1295–1298 (1977).

    MathSciNet  MATH  Google Scholar 

  6. BRUNEL, A., and SUCHESTON, L., "Sur les amarts faibles à valeurs vectorielles", C. R. Acad. Sci. Paris, 282, Serie A, p. 1011–1014 (1976).

    MathSciNet  MATH  Google Scholar 

  7. BRUNEL, A., and SUCHESTON, L., "Sur les amarts à valeurs vectorielles", C. R. Acad. Sci. Paris, 283, Serie A, p. 1037–1039 (1976).

    MathSciNet  MATH  Google Scholar 

  8. BRUNEL, A. and SUCHESTON, L., "Une caractérisation probabiliste de la séparabilite du dual d'un espace de Banach", C. R. Acad. Sci. Paris, to appear.

    Google Scholar 

  9. CHACON, R. V., "A stopped proof of convergence", Adv. in Math. 14, p. 365–368 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  10. CHACON, R. V. and SUCHESTON, L., "On convergence of vector-valued asymptotic martingales", Zeit. Wahrs. verw. Gebiete 33, p. 55–59 (1975).

    Article  MathSciNet  MATH  Google Scholar 

  11. CHATTERJI, S. D., "Martingale convergence and the Radon-Nikodym theorem", Math. Scand. 22, p. 21–41 (1968).

    MathSciNet  MATH  Google Scholar 

  12. DOOB, J. L., Stochastic Processes. Wiley, New York, 1953.

    MATH  Google Scholar 

  13. DVORETZKY, A. and ROGERS, C. A., "Absolute and unconditional convergence in normed linear spaces", Proc. Nat. Acad. Sci. U.S.A. 36, p. 192–197 (1950).

    Article  MathSciNet  MATH  Google Scholar 

  14. DVORETZKY, A., "On stopping time directed convergence", Bull. Amer. Math. Soc. 82, No. 2, p. 347–349 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  15. EDGAR, G. A. and SUCHESTON, L., "Amarts: A class of asymptotic martingales (Discrete parameter)", J. Multivariate Anal. 6, p. 193–221 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  16. EDGAR, G. A. and SUCHESTON, L., "The Riesz decomposition for vector-valued amarts", Zeit. Wahrs. verw. Gebiete 36, p.85–92 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  17. EDGAR, G. A. and SUCHESTON, L., "On vector-valued amarts and dimension of Banach spaces", Zeit. Wahrs. verw. Gebiete, to appear.

    Google Scholar 

  18. FISK, D. L., "Quasi-martingales", Trans. Amer. Math. Soc. 120, p. 369–389 (1965).

    Article  MathSciNet  MATH  Google Scholar 

  19. KRENGEL, U. and SUCHESTON, L., "Semi amarts and finite values", Bull. Amer. Math. Soc., Vol. 83, p. 745–747 (1977).

    Article  MathSciNet  MATH  Google Scholar 

  20. NEVEU, J., Martingales à temps discret. Masson, Paris 1972.

    Google Scholar 

  21. OREY, S., "F-Processes", Proc. 5th Berkeley Sympos. Math. Statist. Prob. II, Univ. of Calif. 1965/1966, p. 301–313.

    MathSciNet  Google Scholar 

  22. RAO, K. M., "Quasi-martingales", Math. Scand. 24, p. 79–92 (1969).

    MathSciNet  MATH  Google Scholar 

  23. UHL, J. J., "Pettis mean convergence of vector-valued asymptotic martingales", Zeit. Wahrs. verw. Gebiete 37, p. 291–295 (1977).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Richard M. Aron Seán Dineen

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Bellow, A. (1978). Some aspects of the theory of vectorvalued amarts. In: Aron, R.M., Dineen, S. (eds) Vector Space Measures and Applications I. Lecture Notes in Mathematics, vol 644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066839

Download citation

  • DOI: https://doi.org/10.1007/BFb0066839

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08668-0

  • Online ISBN: 978-3-540-35906-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics