References
Berens, H., Hetzelt, L.: Die Metrische Struktur der Sonnen inl ∞(n). Aequationes Math.27, 274–287 (1984)
Berens, H., Hetzelt, L.: Suns and contractive retracts in the plane (preprint)
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
Efimov, N.V., Stechkin, S.B.: Some properties of Chebyshev sets. Dokl. Akad. Nauk SSSR (N.S.)118, 17–19 (1958)
Eilenberg, S., Montgomery, D.: Fixed point theorems for multivalued transformations. Am. J. Math.68, 221–222 (1946)
Giles, J.R.: Convex analysis with application in the differentiation of convex functions. Boston, London, Melbourne: Pitman 1982
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)
Hetzelt, L.: Über die beste Coapproximation in ℝn. Dissertation. Erlangen, 1981
Karlovitz, L.A.: The construction and application of contractive retractions and 2-dimensional normed linear spaces. Indiana Univ. Math. J.22, 473–481 (1972)
Koshcheev, V.A.: Connectedness and some approximative properties of sets in normed linear spaces. Mat. Zametki17, 193–204 (1975)=Math. Notes17, 114–119 (1975)
Mazur, S.: Über schwach Konvergenz in den Raüman (L p). Studia Math.4, 128–133 (1933)
Menger, K.: Untersuchungen über allgemeine Metrik. Math. Ann.100, 75–163 (1928)
Phelps, R.R.: A representation theorem for bounded convex sets. Proc. Am. Math. Soc.11, 976–983 (1960)
Spanier, E.H.: Algebraic topology. New York: McGraw-Hill 1966
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)
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01456192