Geodesic
The Linearity Coefficient of Metric Projections onto One-Dimensional Chebyshev Subspaces of the Space~$C$
Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 588-595.

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The paper deals with the operator of metric projection onto an arbitrary one-dimensional Chebyshev subspace $\langle\varphi\rangle$ of the space $C[K]$ of real-valued functions defined and continuous on a Hausdorff compact set $K$. The linearity coefficient of the operator is calculated in terms of the parameters of the generating function $\varphi$. As a consequence, a new estimate of the Lipschitz constant of the operator is obtained.
Keywords: metric projection operator, Chebyshev subspace, Hausdorff compact set $K$, Lipschitz constant of an operator, Lipschitz condition, Banach space. 
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K. V. Chesnokova. The Linearity Coefficient of Metric Projections onto One-Dimensional Chebyshev Subspaces of the Space~$C$. Matematičeskie zametki, Tome 96 (2014) no. 4, pp. 588-595. http://geodesic.mathdoc.fr/item/MZM_2014_96_4_a9/

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