Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 6, Pages 3–8 (Mi vmumm3634)  
Mathematics

The set of geometric medians for four-element subsets in Lindenstrauss spaces

B. B. Bednovab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Bauman Moscow State Technical University
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Abstract: We study the connection between the set of Steiner points for a four-element set and the set of Steiner points for a three-element subset in $L_1$-predual spaces. A Lipschitz selection is presented for the mapping from fours of continuous functions on a Hausdorff compact set to the set of their Steiner points.
Key words: Banach space, Lindenstrauss space, Steiner point, Lipschits selection.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00333
Ministry of Education and Science of the Russian Federation НШ 6222.2018.1
Received: 20.02.2019
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 6, Pages 215–220
DOI: https://doi.org/10.3103/S0027132219060019
Bibliographic databases:
Document Type: Article
UDC: 517.982.256+515.124.4
Language: Russian
Citation: B. B. Bednov, “The set of geometric medians for four-element subsets in Lindenstrauss spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 6, 3–8; Moscow University Mathematics Bulletin, 74:6 (2019), 215–220
Citation in format AMSBIB
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