Skip to main content
Log in

Integral representations of functionals on spaces of uniformly continuous functions

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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. R. C. Buck, “Bounded continuous functions on a locally convex space,” Michigan Math. J.,5, No. 2, 95–104 (1958).

    Google Scholar 

  2. R. Giles, “A generalization of the strict topology,” Trans. Am. Math. Soc.,161, 467–474 (1971).

    Google Scholar 

  3. D. A. Raikov, “Free locally convex spaces of uniform spaces,” Math. Sb.,63, 582–590 (1964).

    Google Scholar 

  4. N. Bourbaki, Espaces vectoriels topologiques, Actualités Sci. Ind., Paris (1953).

    Google Scholar 

  5. D. A. Raikov, “The method of duality in the theory of uniform spaces,” Proc. No. IV Nationwide Topological Conf. [in Russian], Tashkent (1967), pp. 155–162.

  6. V. P. Fedorova, “Linear functionals and the Daniell integral on spaces of uniformly continuous functions,” Mat. Sb.,74, 191–201 (1967).

    Google Scholar 

  7. I. A. Berezanskii, “Measures on uniform spaces and atomic measures,” Trudy Mosk. Mat. Obshch.,19, 3–39 (1968).

    Google Scholar 

  8. Z. Frolik, “Representation de Riesz des mesures uniformes,” C. R. Acad. Sci. Paris,277, 163–166 (1973).

    Google Scholar 

  9. A. D. Aleksandrov, “Additive set functions in abstract spaces,” I, Mat. Sb.,8, 307–348 (1940); II,9, 563–628 (1941); III,13, 169–238 (1943).

    Google Scholar 

  10. N. Dunford and J. T. Schwartz, Linear Operators. Part I, Interscience Publishers, New York, London, Sydney (1976).

    Google Scholar 

  11. G. J. O. Jameson, “Topological M-spaces,” Math. Z.,103, 139–150 (1968).

    Google Scholar 

  12. E. D. Sentilles, “Bounded continuous functions on a completely regular space,” Trans. Am. Math. Soc.,168, 311–336 (1972).

    Google Scholar 

  13. L. N. Mokhova, “Stone-Weierstrass type theorems for lattices of uniformly continuous functions,” Sib. Mat. Zh.,22, No. 4, 136–141 (1981).

    Google Scholar 

Download references

Authors

Additional information

Moscow Pedagogical Institute. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 23, No. 5, pp. 205–218, September–October, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fedorova, V.P. Integral representations of functionals on spaces of uniformly continuous functions. Sib Math J 23, 753–762 (1982). https://doi.org/10.1007/BF00971293

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00971293

Keywords

Navigation