On Minkowski Sums of Many Small Sets
- 作者: Roginskaya M.M.1,2, Shulman V.S.3
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隶属关系:
- Department of Mathematical Sciences, Chalmers University of Technology
- Department of Mathematical Sciences, University of Gothenburg
- Department of Higher Mathematics, Vologda State University
- 期: 卷 52, 编号 3 (2018)
- 页面: 232-235
- 栏目: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234524
- DOI: https://doi.org/10.1007/s10688-018-0233-4
- ID: 234524
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详细
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.
作者简介
M. Roginskaya
Department of Mathematical Sciences, Chalmers University of Technology; Department of Mathematical Sciences, University of Gothenburg
编辑信件的主要联系方式.
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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