Skip to main content
Log in

Suns in normed linear spaces which are finite dimensional

  • Published:
Mathematische Annalen 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. Berens, H., Hetzelt, L.: Die Metrische Struktur der Sonnen inl (n). Aequationes Math.27, 274–287 (1984)

    Google Scholar 

  2. Berens, H., Hetzelt, L.: Suns and contractive retracts in the plane (preprint)

  3. Brown, A.L.: Chebyshev sets and the shapes of convex bodies. In: Methods of functional analysis in approximation theory. Proceedings of an international conference, Bombay 1985. Micchell, C., Pai, D.V., Limaye, B.V. (eds.) pp. 97–121. Basel, Boston, Stuttgart: Birkhäuser 1986

    Google Scholar 

  4. Efimov, N.V., Stechkin, S.B.: Some properties of Chebyshev sets. Dokl. Akad. Nauk SSSR (N.S.)118, 17–19 (1958)

    Google Scholar 

  5. Eilenberg, S., Montgomery, D.: Fixed point theorems for multivalued transformations. Am. J. Math.68, 221–222 (1946)

    Google Scholar 

  6. Giles, J.R.: Convex analysis with application in the differentiation of convex functions. Boston, London, Melbourne: Pitman 1982

    Google Scholar 

  7. Giles, J.R., Gregory, D.A., Sims, B.: Characterisation of normed linear spaces with Mazur's intersection property. Bull. Aust. Math. Soc.18, 105–123 (1978)

    Google Scholar 

  8. Hetzelt, L.: Über die beste Coapproximation in ℝn. Dissertation. Erlangen, 1981

  9. Karlovitz, L.A.: The construction and application of contractive retractions and 2-dimensional normed linear spaces. Indiana Univ. Math. J.22, 473–481 (1972)

    Google Scholar 

  10. Koshcheev, V.A.: Connectedness and some approximative properties of sets in normed linear spaces. Mat. Zametki17, 193–204 (1975)=Math. Notes17, 114–119 (1975)

    Google Scholar 

  11. Mazur, S.: Über schwach Konvergenz in den Raüman (L p). Studia Math.4, 128–133 (1933)

    Google Scholar 

  12. Menger, K.: Untersuchungen über allgemeine Metrik. Math. Ann.100, 75–163 (1928)

    Google Scholar 

  13. Phelps, R.R.: A representation theorem for bounded convex sets. Proc. Am. Math. Soc.11, 976–983 (1960)

    Google Scholar 

  14. Spanier, E.H.: Algebraic topology. New York: McGraw-Hill 1966

    Google Scholar 

  15. Vlasov, L.P.: Approximative properties of sets in normed linear spaces. Usp. Mat. Nauk28, No. 6, 3–66 (1973)=Russ. Math. Surv.28, 1–66 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brown, A.L. Suns in normed linear spaces which are finite dimensional. Math. Ann. 279, 87–101 (1987). https://doi.org/10.1007/BF01456192

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456192

Keywords

Navigation