Skip to main content
SpringerLink
Log in

A remark on the central limit theorem in Banach spaces

  • Conference paper
  • First Online:
Book cover Probability Theory on Vector Spaces III

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1080))

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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.

References

  1. Chobanyan, S.A., Tarieladze, V.I.: A counterexample concerning CLT in Banach spaces. Probability theory on vector spaces, Poland 1977. Lecture Notes in Math. 656, 25–30, Springer, Berlin-Heidelberg-New York (1978).

    MATH  Google Scholar 

  2. Giné, E., Zinn, J.: Central limit theorems and weak laws of large numbers in certain Banach spaces. Zeitschrift für Wahr. 62, 323–354, (1983).

    Article  MathSciNet  MATH  Google Scholar 

  3. Hoffmann-Jørgensen, J.: Sums of independent Banach space valued random variables. Studia Math. 52, 159–186 (1974).

    MathSciNet  MATH  Google Scholar 

  4. Hoffmann-Jørgensen, J., Pisier, G.: The law of large numbers and the central limit theorem in Banach spaces. Ann. Probability 4, 587–599 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  5. Ledoux, M.: Théorème limite central dans les espaces ℓp(B) (1 ≤ p<∞). Ann. Inst. H. Poincaré 19, 393–411 (1983).

    MathSciNet  MATH  Google Scholar 

  6. Pisier, G.: Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. Séminaire Maurey-Schwartz 1975–76, exposés 3, 4 et annexe, Ecole Polytechnique, Paris (1976).

    Google Scholar 

  7. Zinn, J.: Inequalities in Banach spaces with applications to probabilistic limit theorems: a survey. Probability in Banach spaces III, Medford 1980. Lecture Notes in Math. 860, 324–329, Springer, Berlin-Heidelberg-New York (1981).

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département de Mathématique, Université Louis-Pasteur, 7, rue René-Descartes, F-67084, Strasbourg Cédex, France

    M. Ledoux

Authors
  1. M. Ledoux
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Dominik Szynal Aleksander Weron

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Ledoux, M. (1984). A remark on the central limit theorem in Banach spaces. In: Szynal, D., Weron, A. (eds) Probability Theory on Vector Spaces III. Lecture Notes in Mathematics, vol 1080. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099791

Download citation

  • DOI: https://doi.org/10.1007/BFb0099791

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13388-9

  • Online ISBN: 978-3-540-38939-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation