Skip to main content
Log in

Extremal structure of convex sets

  • Published:
Archiv der Mathematik 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.

References

  1. N.Bourbaki, Espaces vectorielles topologiques. Actual. sci. industr. no. 1189, Paris 1953.

  2. J. L. Kelley, Note on a theorem of Krein and Milman. J. Osaka Inst. Sci. Technol., Part I,3, 1–2 (1951).

    Google Scholar 

  3. V. L. Klee, Jr., Convex sets in linear spaces. Duke math. J.18, 443–466 (1951).

    Google Scholar 

  4. V. L. Klee, Jr., Convex sets in linear spaces II. Duke math. J.18, 875–883 (1951).

    Google Scholar 

  5. V. L. Klee, Jr., Separation properties of convex cones. Proc. Amer. math. Soc.6, 313–318 (1955).

    Google Scholar 

  6. V. L. Klee, Jr., Strict separation of convex sets. Proc. Amer. math. Soc.7, 735–737 (1956).

    Google Scholar 

  7. M. Krein andD. Milman, On the extreme points of regularly convex sets. Studia math.9, 133–138 (1940).

    Google Scholar 

  8. D. Milman, Isometry and extremal points. Doklady Akad. Nauk SSSR, n. Ser.59, 1241–1244 (1948).

    Google Scholar 

  9. H.Minkowski, Gesammelte Abhandlungen. Leipzig und Berlin 1911.

  10. St. Straszewicz, Über exponierte Punkte abgeschlossener Punktmengen. Fundamenta Math.24, 139–143 (1935).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Based on research sponsored in part by the Office of Ordnance, U. S. Army, under Contract DA-04-200-OED-292, and supported in part by a fellowship from theSloan Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Klee, V.L. Extremal structure of convex sets. Arch. Math 8, 234–240 (1957). https://doi.org/10.1007/BF01899998

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01899998

Keywords

Navigation