Abstract
Sufficient conditions are given for the existence of a closed hyperplane which supports each member of a pair of closed and bounded subsets of a Banach space.
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J. Collier and M. Edelstein,On strongly exposed points and Fréchet differentiability, Israel J. Math.17 (1974), 66–68.
M. Edelstein and A. C. Thompson,Some results on nearest points and support properties of convex sets in c 0 Pacific J. Math.40 (1972), 553–560.
R. R. Phelps,Dentability and extreme points in Banach spaces, J. Funct. Anal.16 (1974), 78–90.
M. A. Rieffel,Dentable subsets of Banach spaces, with applications to a Radon-Nikodym theorem, Proc. Conf. Functional Analysis, Thompson Book Co., Washington, D. C. 1967, 71–77.
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Collier, J.B., Edelstein, M. Common supports for pairs of sets. Israel J. Math. 19, 237–240 (1974). https://doi.org/10.1007/BF02757719
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DOI: https://doi.org/10.1007/BF02757719