Skip to main content
Log in

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.

Literature cited

  1. A. N. Kolmogorov and S. V. Fomin, Elements of Function Theory and Functional Analysis [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  2. P. R. Halmos, Measure Theory, D. Van Nostrand Co., New York (1950).

    Google Scholar 

  3. A. L. Garkavi, “Approximative centers and nets in a linear normed space,” in: Theory of Approximation of Functions, Proceedings of the International Conference on Approximation Theory [in Russian], Nauka, Moscow (1977), pp. 107–112.

    Google Scholar 

  4. A. L. Garkavi and V. A. Kaminskii, “The minimization of functionals on measure spaces, and confidence centers of a set,” Revue Roumaine de Math. Pures et Appliq.,25, No. 8, 1207–1223 (1980).

    Google Scholar 

  5. P. Billingsley, Convergence of Probability Measures, John Wiley & Sons, New York (1968).

    Google Scholar 

  6. A. V. Skorokhod, Integration in Hilbert Space [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  7. V. S. Korolyuk (ed.), Handbook of Probability Theory and Mathematical Statistics [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  8. A. V. Uglanov, “Surface integrals and differential equations on infinite-dimensional spaces,” Dokl. Akad. Nauk SSSR,247, No. 6, 1331–1335 (1979).

    Google Scholar 

  9. J. Diestel, Geometry of Banach Spaces — Selected Topics, Lect. Notes Math., No. 485, Springer-Verlag, Berlin (1975).

    Google Scholar 

  10. F. P. Vasil'ev, Methods for Solving Extremal Problems [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  11. Yu. L. Daletskii and S. V. Fomin, Measures and Differential Equations in Infinite-Dimensional Spaces [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  12. E. I. Efimova and A. V. Uglanov, “Formulas for vector analysis on a Banach space,” Dokl. Akad. Nauk SSSR,271, No. 6, 1302–1306 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 48, No. 4, pp. 19–28, October, 1990.

The authors thank the reviewer for useful observations.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Garkavi, A.L., Kaminskii, V.A. Certain extremal problem in a measure space. Mathematical Notes of the Academy of Sciences of the USSR 48, 985–991 (1990). https://doi.org/10.1007/BF01139597

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01139597

Keywords

Navigation