On Minkowski Sums of Many Small Sets


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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.

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M. Roginskaya

Department of Mathematical Sciences, Chalmers University of Technology; Department of Mathematical Sciences, University of Gothenburg

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Email: maria@chalmers.se
瑞典, Gothenburg; Gothenburg

V. Shulman

Department of Higher Mathematics, Vologda State University

Email: maria@chalmers.se
俄罗斯联邦, Vologda

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