Skip to main content

Boundedness and convergence of banach lattice valued submartingales

Part of the Lecture Notes in Mathematics book series (LNM,volume 656)

Keywords

  • Independent Random Variable
  • Banach Lattice
  • Continuous Linear Operator
  • Summable Sequence
  • Boundedness Theorem

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

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S.D. Chaterji, Martingale convergence and the Radon-Nikodym theorem in Banach spaces, Math. Scand., 22 (1968), 21–41.

    MathSciNet  Google Scholar 

  2. S. Kakutani, Concrete representation of abstract L-spaces and the mean ergodic theorem, Ann. of Math., 42 (1941), 523–537.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. J. Neveu, Martingales a Temps Discrete, Paris 1972.

    Google Scholar 

  4. F. Scalora, Abstract martingale convergence theorem, Pacific. J. Math., 11 (1961), 347–374.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. H.H. Schaefer, Banach Lattices and Positive Operators, Berlin-Heidelberg-New York 1974.

    Google Scholar 

  6. J. Szulga-W.A. Woyczyński, Convergence of submartingales in Banach lattices, The Ann. of Prob., 4, No.3, (1976), 464–469.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Szulga, J. (1978). Boundedness and convergence of banach lattice valued submartingales. In: Weron, A. (eds) Probability Theory on Vector Spaces. Lecture Notes in Mathematics, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068824

Download citation

  • DOI: https://doi.org/10.1007/BFb0068824

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08846-2

  • Online ISBN: 978-3-540-35814-5

  • eBook Packages: Springer Book Archive