The Steiner Mapping for Three Points in Euclidean Plane


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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

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