Skip to main content
Log in

Bounded Chebyshev sets in finite-dimensional Banach spaces

  • Published:
Mathematical notes of the Academy of Sciences of the USSR 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. L. N. H. Bunt, “Bijdrage tot de theorie der convexe puntverzamelingen,” Thesis, Univ. of Groningen, Amsterdam (1934).

    Google Scholar 

  2. T. S. Motzkin, “Sur quelques propriétés caractéristiques des ensembles convexes,” Rend. Acad. Naz. Lincei,21, 773–779 (1935).

    Google Scholar 

  3. V. L. Klee, “Convex bodies and periodic homeomorphisms in Hilbert space,” Trans. Am. Math. Soc.,74, 10–43 (1953).

    Google Scholar 

  4. N. V. Efimov and S. B. Stechkin, “Support properties of sets in Banach spaces and Chebyshev sets,” Dokl. Akad. Nauk SSSR,127, No. 2, 254–257 (1959).

    Google Scholar 

  5. V. I. Berdyshev, “On a question concerning Chebyshev sets,” Dokl. Akad. Nauk AzSSR,22, No. 9, 3–5 (1966).

    Google Scholar 

  6. A. Brondsted, “Convex sets and Chebyshev sets. I,” Math. Scand.,17, No. 1, 5–16 (1965).

    Google Scholar 

  7. A. Brondsted, “Convex sets and Chebyshev sets. II,” Math. Scand.,18, No. 1, 5–15 (1966).

    Google Scholar 

  8. H. H. Schaefer, Topological Vector Spaces, Macmillan, New York (1966).

    Google Scholar 

  9. K. Borsuk, Theory of Retracts [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  10. S. Straszewicz, “Über exponierte Punkte abgeschlossener Punktmengen,” Fund. Math.,24, 139–143 (1935).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 36, No. 1, pp. 73–87, July, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsar'kov, I.G. Bounded Chebyshev sets in finite-dimensional Banach spaces. Mathematical Notes of the Academy of Sciences of the USSR 36, 530–537 (1984). https://doi.org/10.1007/BF01139554

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01139554

Navigation