Skip to main content

A counter-example concerning CLT in banach spaces

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

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. Čobanjan, S.A. and Tarieladze, V.I., Gaussian characterizations of certain Banach spaces, J.Multivariate Analysis, 7 (1977), 183–203.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Hofmann-Jørgensen, J., The strong law of large numbers and the central limit theorem in Banach spaces, Math.Inst.Aarhus Univ. Preprint Ser., 3 (1974/75).

    Google Scholar 

  3. Jain, N.C., Central limit theorem in a Banach space, Lecture Notes in Mathematics, 526 (1975), 113–130.

    CrossRef  MathSciNet  Google Scholar 

  4. Maurey, B., Théorèmes de factorisation pour les opérateurs linéaires à valeurs dans les espaces Lp, Asterisque, 11, (1974), 1–163.

    MathSciNet  MATH  Google Scholar 

  5. Maurey, B. and Pisier, G., Caracteŕisation d'une classe d'espaces de Banach par des séries aléatoires vectorielles, C.R. Acad.Sci.Paris, 277 (1973), 687–690.

    MathSciNet  MATH  Google Scholar 

  6. Pisier, G., Le theoreme de la limite centrale et la loi du logarithme itere dans les espaces de Banach, Seminaire Maurey-Schwartz, 1975–1976, Exp. 3.

    Google Scholar 

  7. Rakov, S.A., On Banach spaces for which Orlicz's theorem is not true (Russian), Matemat. Zametki, 14 (1973), 101–106.

    MathSciNet  Google Scholar 

  8. Strassen, V., and Dudley, R.M., The central limit theorem and ε-entropy, Lecture Notes in Mathematics, 89 (1969), 224–231.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Vakhania, N., Probability distributions in linear spaces (Russian), Metzniereba, Tbilisi, 1971.

    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

Čobanjan, S.A., Tarieladze, V.I. (1978). A counter-example concerning CLT in banach spaces. In: Weron, A. (eds) Probability Theory on Vector Spaces. Lecture Notes in Mathematics, vol 656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068807

Download citation

  • DOI: https://doi.org/10.1007/BFb0068807

  • 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