Convexity of Chebyshev sets
Tóm tắt
Từ khóa
Tài liệu tham khảo
Busemann, H.: Note on a theorem of convex sets. Mat. Tidsskr. B. 1947, 32?34.
Eflmov, N. V., andS. B. Stechkin: Chebyshev sets in Banach spaces (Russian). Doklady Akad. Nauk SSSR121, 582?585 (1958).
Efimov, N. V., andS. B. Stechkin: Some supporting properties of sets in Banach spaces as related to Chebyshev sets (Russian). Doklady Akad. Nauk SSSR127, 254?257 (1959).
Fan, Ky, andI. Glicksberg: Some geometric properties of the spheres in a normed linear space. Duke Math. J.25, 553?568 (1958).
Jessen, B.: Two theorems on convex point sets (Danish). Mat. Tidsskr. B. 1940, 66?70.
Kalisch, G. K., andE. G. Straus: On the determination of points in a Banach space by their distances from the points of a given set. An. Acad. Brasil Ci.29, 501?519 (1957).
Klee, V.: Convex bodies and periodic homeomorphisms in Hilbert space. Trans. Am. Math. Soc.74, 10?43 (1953).
Klee, V.: Relative extreme points and weak compactness. Proceedings of the International Symposium on Linear Spaces. Jerusalem, July 1960.
Mazur, S.: Über die kleinste konvexe Menge, die eine gegebene kompakte Menge enthält. Studia Math.2, 7?9 (1930).
Motzkin, Th.: Sur quelques propriétés caractéristiques des ensembles convexes. Atti. R. Accad. Lincei, Rend. VI s. 21, 562?567 (1935).
Motzkin, T. S., E. G. Straus andF. A. Valentine: The number of farthest points. Pacific J. Math.3, 221?232 (1953).
Ruston, A. F.: A note on convexity in Banach spaces. Proc. Cambridge Philos. Soc.45, 157?159 (1949).