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On Minkowski Sums of Many Small Sets
Authors:M. M. Roginskaya  V. S. Shulman
Affiliation:1.Department of Mathematical Sciences,Chalmers University of Technology,Gothenburg,Sweden;2.Department of Mathematical Sciences,University of Gothenburg,Gothenburg,Sweden;3.Department of Higher Mathematics,Vologda State University,Vologda,Russia
Abstract:It is proved that a weakly closed subset of a Banach space is convex if and only if it can be represented as the sum of sets of arbitrarily small diameter.
Keywords:
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