Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 469-478
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A. L. Garkavi. The conditional Chebyshev center of a compact set of continuous functions. Matematičeskie zametki, Tome 14 (1973) no. 4, pp. 469-478. http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a1/
@article{MZM_1973_14_4_a1,
author = {A. L. Garkavi},
title = {The conditional {Chebyshev} center of a~compact set of continuous functions},
journal = {Matemati\v{c}eskie zametki},
pages = {469--478},
year = {1973},
volume = {14},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a1/}
}
TY - JOUR
AU - A. L. Garkavi
TI - The conditional Chebyshev center of a compact set of continuous functions
JO - Matematičeskie zametki
PY - 1973
SP - 469
EP - 478
VL - 14
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a1/
LA - ru
ID - MZM_1973_14_4_a1
ER -
%0 Journal Article
%A A. L. Garkavi
%T The conditional Chebyshev center of a compact set of continuous functions
%J Matematičeskie zametki
%D 1973
%P 469-478
%V 14
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_4_a1/
%G ru
%F MZM_1973_14_4_a1
We establish characteristic properties of a subspace $L$ of finite codimension of the space $C(T)$ that has a Chebyshev center and a Chebyshev net for every compact set from $C(T)$. We show that these properties are the same as the conditions for the existence in $L$ of an element of best approximation for every element from $C(T)$.
