Email this article Sets with at most two-valued metric projection on a normed plane
- Authors: Flerov A.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 101, No 1-2 (2017)
- Pages: 352-364
- Section: Volume 101, Number 2, February, 2017
- URL: https://journals.rcsi.science/0001-4346/article/view/149998
- DOI: https://doi.org/10.1134/S0001434617010382
- ID: 149998
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Abstract
We study sets with at most two-valued metric projection in Banach spaces. We show that a two-dimensional Banach space is smooth if and only if every point of the convex hull of an arbitrary closed set with at most two-valued metric projection lies on a segment with endpoints in that set.
About the authors
A. A. Flerov
Lomonosov Moscow State University
Author for correspondence.
Email: aflerov@rambler.ru
Russian Federation, Moscow
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