On the modulus of continuity of an operator of best approximation
Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 797-808.

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In this paper we characterize spaces with an operator of best approximation uniformly continuous on a class of subspaces.
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     author = {V. I. Berdyshev},
     title = {On the modulus of continuity of an operator of best approximation},
     journal = {Matemati\v{c}eskie zametki},
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     year = {1974},
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V. I. Berdyshev. On the modulus of continuity of an operator of best approximation. Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 797-808. http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a16/