Email this article On Minkowski Sums of Many Small Sets
- Authors: Roginskaya M.M.1,2, Shulman V.S.3
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Affiliations:
- Department of Mathematical Sciences, Chalmers University of Technology
- Department of Mathematical Sciences, University of Gothenburg
- Department of Higher Mathematics, Vologda State University
- Issue: Vol 52, No 3 (2018)
- Pages: 232-235
- Section: 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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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.
About the authors
M. M. Roginskaya
Department of Mathematical Sciences, Chalmers University of Technology; Department of Mathematical Sciences, University of Gothenburg
Author for correspondence.
Email: maria@chalmers.se
Sweden, Gothenburg; Gothenburg
V. S. Shulman
Department of Higher Mathematics, Vologda State University
Email: maria@chalmers.se
Russian Federation, Vologda
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