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Klee, Victor

Some new results on smoothness and rotundity in normed linear spaces. (English) Zbl 0092.11602

Math. Ann. 139, 51-63 (1959).
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functional analysis
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\textit{V. Klee}, Math. Ann. 139, 51--63 (1959; Zbl 0092.11602)
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References:

[1] Banach, S., andS. Mazur: Zur Theorie der linearen Dimension. Studia Math.4, 100-112 (1933). · JFM 59.1075.01
[2] Bourbaki, N.: Espaces vectoriels topologiques. Act. Sci. Ind. no. 1189, Paris 1953. · Zbl 0050.10703
[3] Choquet, G.: Existence des représentations intégrales dans les cones convexes. C. R. Acad. Sci. (Paris)243, 736-737 (1956). · Zbl 0071.10703
[4] Day, M. M.: Uniform convexity in factor and conjugate spaces. Ann. of Math. (2)45, 375-385 (1944). · Zbl 0063.01058
[5] Day, M. M.: Strict convexity and smoothness of normed spaces. Trans. Amer. Math. Soc.78, 516-528 (1955). · Zbl 0068.09101
[6] Day, M. M.: Normed linear spaces. Ergebn. Math. Grenz. no. 21, Berlin 1959. · Zbl 0089.31403
[7] James, R. C.: Banach spaces with a specified number of separable conjugate spaces. Amer. math. Soc. Notices5, 680 (1958).
[8] Klee, V.: Some characterizations of reflexivity. Rev. Ciencias (Lima)52, 15-23 (1950). · Zbl 0040.35403
[9] Klee, V.: Convex sets in linear spaces. Duke math. J.18, 443-466 (1951). · Zbl 0042.36201
[10] Klee, V.: Convex bodies and periodic homeomorphisms in Hilbert space. Trans. Amer. Math. Soc.74, 10-43 (1953). · Zbl 0050.33202
[11] Klee, V.: Some topological properties of convex sets. Trans. Amer. Math. Soc.78, 30-45 (1955). · Zbl 0064.10505
[12] Klee, V.: Separation properties of convex cones. Proc. Amer. Math. Soc.6, 313-318 (1955). · Zbl 0064.35602
[13] Klee, V.: Extremal structure of convex sets. II. Math. Z.69, 90-104 (1958). · Zbl 0079.12502
[14] Krein, M. G., andD. P. Milman: On extreme points of regular convex sets. Studia Math.9, 133-138 (1940). · Zbl 0063.03360
[15] Mazur, S.: Über die kleinste konvexe Menge, die eine gegebene kompakte Menge enthält. Studia Math.1, 83-85 (1929).
[16] Mazur, S.: Über konvexe Mengen in linearen normierten Räumen. Studia Math.4, 70-84 (1933). · JFM 59.1074.01
[17] Michael, E.: Dense families of continuous selections. Fund. Math. (to appear). · Zbl 0092.15402
[18] Poulsen, E. Th.: Compact convex sets with dense extreme points. Amer. Math. Monthly (to appear).
[19] Smulian, V. L.: On the principle of inclusion in the space of type (B). Mat. Sbornik (N. S.)5, 317 bis 328 (1939) (Russian). · Zbl 0022.23302
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