Skip to main content
Log in

Every Hubert subspace of a Wiener space has measure zero

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

Abstract

We prove several results about measures in linear spaces. In particular we prove the assertion in the title.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. C. Kuratowski, Topology, Hafner (1961).

  2. L. Gross, Abstract Wiener Spaces, Proc. Fifth Berkeley Symposium on Mathematical Statistics and Probability, Vol. 2, No. 1 (1965–1966), pp. 31–42.

    Google Scholar 

  3. L. Gross, Harmonic Analysis in Hilbert Space, Am. Math. Soc. (1970).

  4. A. N. Kolmogorov, “Remarks on the work of R. A. Minlos and V. V. Sazonov,” Teor. Veroyatnost. i Primen.,4, 237–239 (1959).

    Google Scholar 

  5. Yu. L. Daletskii, “Infinite elliptic operators and parabolic equations connected with them,” Usp. Matem. Nauk,22, 3–54 (1967).

    Google Scholar 

  6. I. M. Gel'fand and N. Ya. Vilenkin, Generalized Functions, No. 4, Some Applications of Harmonic Analysis. Rigged Hilbert Spaces [in Russian], Gos. Izd. Fiz.-Mat. Lit., Moscow (1961).

    Google Scholar 

  7. G. E. Shilov and Fang Tyk T'in, Integral, Measure and Derivative on Linear Spaces [in Russian], Izd. Nauka, Moscow (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 14, No. 3, pp. 369–374, September, 1973.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smolyanov, O.G., Uglanov, A.V. Every Hubert subspace of a Wiener space has measure zero. Mathematical Notes of the Academy of Sciences of the USSR 14, 772–774 (1973). https://doi.org/10.1007/BF01147453

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01147453

Keywords

Navigation