Journal of Convex Analysis 14 (2007), No. 2, 345--351
Copyright Heldermann Verlag 2007
Centrally Symmetric Convex Sets
Vladimir G. Boltyanski
CIMAT, A.P. 402, 36000 Guanajuato, Gto., Mexico
boltian@cimat.mx
J. Jerónimo Castro
CIMAT, A.P. 402, 36000 Guanajuato, Gto., Mexico
There are some conditions under which a compact, convex set is centrally symmetric. The conditions were established by W. Blaschke and G. Hessenberg [Jahresberichte Deutsch. Math. Vereinigung 26 (1917) 215--220], G. D. Chakerian and M. S. Klamkin [Amer. Math. Monthly 111 (2004) 903--905], and L. Montejano [Bol. Soc. Mat. Mex. 38 (1993) 1--7]. In this article we give some new conditions.
Keywords: Convex set, symmetry, sections and projections of sets.
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