The Steiner Mapping for Three Points in Euclidean Plane
- Authors: Chesnokova K.V.1
-
Affiliations:
- “Orthodox Educational Boarding School “Plyoskovo”
- Issue: Vol 73, No 1 (2018)
- Pages: 17-23
- Section: Article
- URL: https://journal-vniispk.ru/0027-1322/article/view/164599
- DOI: https://doi.org/10.3103/S0027132218010035
- ID: 164599
Cite item
Abstract
For the Euclidean plane ℂ the Steiner mapping associating any three points a, b, c with their median s, and the corresponding operator PD of metric projection of the space l13(ℂ) onto its diagonal subspace D = {(x,x,x): x ∈ ℂ}, PD(a,b,c) = (s,s,s): s are considered. The exact value of the linearity coefficient of PD is calculated.
About the authors
K. V. Chesnokova
“Orthodox Educational Boarding School “Plyoskovo”
Author for correspondence.
Email: kchesnokova@gmail.com
Russian Federation, D/0 “Plyoskovo”, 10, Moscow, 108833
Supplementary files
