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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 P D of metric projection of the space l 31 (ℂ) onto its diagonal subspace D = {(x,x,x): x ∈ ℂ}, P D (a,b,c) = (s,s,s): s are considered. The exact value of the linearity coefficient of P D is calculated.

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Authors and Affiliations

  1. “Orthodox Educational Boarding School “Plyoskovo”, Settlement Mikhailovo-Yartsevskoe, D/0 “Plyoskovo”, 10, Moscow, 108833, Russia

    K. V. Chesnokova

Authors
  1. K. V. Chesnokova
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Correspondence to K. V. Chesnokova.

Additional information

Original Russian Text © K. V. Ghesnokova. 2018. published in Vestnik Moskouskogo Universiteta. Matematika. Mekhanika. 2018. Vol. 73, No. 1, pp. 20-26.

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Chesnokova, K.V. The Steiner Mapping for Three Points in Euclidean Plane. Moscow Univ. Math. Bull. 73, 17–23 (2018). https://doi.org/10.3103/S0027132218010035

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  • DOI: https://doi.org/10.3103/S0027132218010035

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