Email this article The Set of Geometric Medians for Four-Element Subsets in Lindenstrauss Spaces
- Authors: Bednov B.B.1,2,3
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Affiliations:
- Faculty of Mechanics and Mathematics
- Bauman Moscow State Technical University
- Sechenov University
- Issue: Vol 74, No 6 (2019)
- Pages: 215-220
- Section: Article
- URL: https://journal-vniispk.ru/0027-1322/article/view/164885
- DOI: https://doi.org/10.3103/S0027132219060019
- ID: 164885
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Abstract
The connections between the set of geometric medians for a four-element set and the set of Steiner points for its three-element subsets in L1-predual spaces are studied. A Lipschitz selection for the mapping from quadruples of continuous functions on a Hausdorff compact space to the set of their geometric medians is presented.
About the authors
B. B. Bednov
Faculty of Mechanics and Mathematics; Bauman Moscow State Technical University; Sechenov University
Author for correspondence.
Email: noriiii@inbox.ru
Russian Federation, Leninskie Gory, Moscow, 119991; ul. Baumanskaya 2-ya, 5, Moscow, 105005; 8-2 Trubetskaya str., Moscow, 119991
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