References
Banach, S., andS. Mazur: Zur Theorie der linearen Dimension. Studia Math.4, 100–112 (1933).
Bourbaki, N.: Espaces vectoriels topologiques. Act. Sci. Ind. no. 1189, Paris 1953.
Choquet, G.: Existence des représentations intégrales dans les cones convexes. C. R. Acad. Sci. (Paris)243, 736–737 (1956).
Day, M. M.: Uniform convexity in factor and conjugate spaces. Ann. of Math. (2)45, 375–385 (1944).
Day, M. M.: Strict convexity and smoothness of normed spaces. Trans. Amer. Math. Soc.78, 516–528 (1955).
Day, M. M.: Normed linear spaces. Ergebn. Math. Grenz. no. 21, Berlin 1959.
James, R. C.: Banach spaces with a specified number of separable conjugate spaces. Amer. math. Soc. Notices5, 680 (1958).
Klee, V.: Some characterizations of reflexivity. Rev. Ciencias (Lima)52, 15–23 (1950).
Klee, V.: Convex sets in linear spaces. Duke math. J.18, 443–466 (1951).
Klee, V.: Convex bodies and periodic homeomorphisms in Hilbert space. Trans. Amer. Math. Soc.74, 10–43 (1953).
Klee, V.: Some topological properties of convex sets. Trans. Amer. Math. Soc.78, 30–45 (1955).
Klee, V.: Separation properties of convex cones. Proc. Amer. Math. Soc.6, 313–318 (1955).
Klee, V.: Extremal structure of convex sets. II. Math. Z.69, 90–104 (1958).
Krein, M. G., andD. P. Milman: On extreme points of regular convex sets. Studia Math.9, 133–138 (1940).
Mazur, S.: Über die kleinste konvexe Menge, die eine gegebene kompakte Menge enthält. Studia Math.1, 83–85 (1929).
Mazur, S.: Über konvexe Mengen in linearen normierten Räumen. Studia Math.4, 70–84 (1933).
Michael, E.: Dense families of continuous selections. Fund. Math. (to appear).
Poulsen, E. Th.: Compact convex sets with dense extreme points. Amer. Math. Monthly (to appear).
Smulian, V. L.: On the principle of inclusion in the space of type (B). Mat. Sbornik (N. S.)5, 317 bis 328 (1939) (Russian).
Author information
Authors and Affiliations
Additional information
National Science Foundation Senior Postdoctoral Fellow (U.S.A.), University of Washington (Seattle) and University of Copenhagen.
Rights and permissions
About this article
Cite this article
Klee, V. Some new results on smoothness and rotundity in normed linear spaces. Math. Ann. 139, 51–63 (1959). https://doi.org/10.1007/BF01459822
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01459822