Skip to main content

Banach support of a probability measure in a locally convex space

Part of the Lecture Notes in Mathematics book series (LNM,volume 526)

Keywords

  • Probability Measure
  • Radon Measure
  • Convex Space
  • Gaussian Measure
  • Convex Compact Subset

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. C. BORELL: Convex measures on locally convex spaces. Ark. Mat. Vol. 12 (1974) pp.239–252.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R.M. DUDLEY, J. FELDMAN and L. LECAM: On semi-norms and probabilities, and abstract Wiener spaces. Ann. Math., Vol. 93 (1971) pp.390–408.

    CrossRef  MathSciNet  Google Scholar 

  3. R.M. DUDLEY and M. KANTER: Zero-one laws for stable measures. Proc. A.M.S., Vol. 45 (1974) pp.245–252.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. X. FERNIQUE: Une demonstration simple du theoreme de R.M. Dudley et M. Kanter sur les lois zero-un pour les mesures stables. Seminaire de Probabilites VIII. Lcture notes in Math., Vol.381 (1974), Springer-Verlag.

    Google Scholar 

  5. L. GROSS: Abstract Wiener spaces. Proc. 5-th Berkley Symp., Vol. 2, Part 1 (1965) pp.31–42.

    Google Scholar 

  6. J. HOFFMANN-JØRGENSEN: Integrability of semi-norms, the 0–1 law and the Affine kernel for product measures. Preprint Ser., 1974/75, No. 6, Aarhus Univ.

    Google Scholar 

  7. G. KALLIANPUR: Zero-one laws for Gaussian processes. Trans. A.M.S., Vol. 149 (1970) pp.199–211.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. J. KUELBS: Some results for probability measures on linear topological vector spaces with an application to Strassen's loglog law. J. Func. Anal., Vol. 14 (1973) pp.28–43.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. H.J. LANDAU and L.A. SHEPP: On the supremum of a Gaussian process. Sankhya, Ser.A, Vol. 32 (1971) pp.369–378.

    MathSciNet  MATH  Google Scholar 

  10. H. SATO and Y. OKAZAKI: Separabilities of Gaussian Radon measure. (to appear).

    Google Scholar 

  11. A. TORTRAT: Lecture at the university of Paris (1975).

    Google Scholar 

  12. N.N. VAKHANIA: On a property of Gaussian distributions in Banach spaces. Sankhya, Ser. A, Vol. 35 (1973) pp.23–28.

    MathSciNet  MATH  Google Scholar 

  13. J. ZINN: Zero-one laws for non-gaussian measures. Proc. A.M.S., Vol. 44 (1974) pp.179–185.

    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

© 1976 Springer-Verlag

About this paper

Cite this paper

Sato, H. (1976). Banach support of a probability measure in a locally convex space. In: Beck, A. (eds) Probability in Banach Spaces. Lecture Notes in Mathematics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082356

Download citation

  • DOI: https://doi.org/10.1007/BFb0082356

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07793-0

  • Online ISBN: 978-3-540-38256-0

  • eBook Packages: Springer Book Archive