Geodesic
The set of geometric medians for four-element subsets in Lindenstrauss spaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 3-8 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{VMUMM_2019_6_a0,
     author = {B. B. Bednov},
     title = {The set of geometric medians for four-element subsets in {Lindenstrauss} spaces},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--8},
     year = {2019},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a0/}
}
TY  - JOUR
AU  - B. B. Bednov
TI  - The set of geometric medians for four-element subsets in Lindenstrauss spaces
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2019
SP  - 3
EP  - 8
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a0/
LA  - ru
ID  - VMUMM_2019_6_a0
ER  - 
%0 Journal Article
%A B. B. Bednov
%T The set of geometric medians for four-element subsets in Lindenstrauss spaces
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2019
%P 3-8
%N 6
%U http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a0/
%G ru
%F VMUMM_2019_6_a0
B. B. Bednov. The set of geometric medians for four-element subsets in Lindenstrauss spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2019), pp. 3-8. http://geodesic.mathdoc.fr/item/VMUMM_2019_6_a0/

[1] Lima A.A., “Intersection properties of balls and subspaces in Banach spaces”, Trans. Amer. Math. Soc., 227 (1977), 1–62 | DOI | MR | Zbl

[2] Grothendieck A., “Une caractérisation vectorielle-métrique des espaces $L^1$”, Can. J. Math., 7:4 (1955), 552–561 | DOI | MR | Zbl

[3] Lindenstrauss J., “Extension of compact operators”, Mem. Amer. Math. Soc., 48 (1964), 1–112 | MR

[4] Bednov B.B., Borodin P.A., “Banakhovy prostranstva, realizuyuschie minimalnye zapolneniya”, Matem. sb., 205:4 (2014), 3–19 | DOI | MR

[5] Bednov B.B., “Dlina minimalnogo zapolneniya tipa zvezdy”, Matem. sb., 207:8 (2016), 31–46 | DOI | MR | Zbl

[6] Bednov B.B., “O tochkakh Shteinera v prostranstve nepreryvnykh funktsii”, Vestn. Mosk. un-ta. Matem. Mekhan., 2011, no. 6, 26–31 | MR | Zbl

[7] Bednov B.B., Borodin P.A., Chesnokova K.V., “Lipshitsevy vyborki iz otobrazheniya Shteinera”, Matem. sb., 209:2 (2018), 3–21 | DOI | MR | Zbl