Matematičeskie zametki, Tome 22 (1977) no. 6, pp. 795-801
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A. V. Marinov. The Lipschitz condition for a metric projection operator in the space $C[a,b]$. Matematičeskie zametki, Tome 22 (1977) no. 6, pp. 795-801. http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a1/
@article{MZM_1977_22_6_a1,
author = {A. V. Marinov},
title = {The {Lipschitz} condition for a metric projection operator in the space $C[a,b]$},
journal = {Matemati\v{c}eskie zametki},
pages = {795--801},
year = {1977},
volume = {22},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a1/}
}
TY - JOUR
AU - A. V. Marinov
TI - The Lipschitz condition for a metric projection operator in the space $C[a,b]$
JO - Matematičeskie zametki
PY - 1977
SP - 795
EP - 801
VL - 22
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a1/
LA - ru
ID - MZM_1977_22_6_a1
ER -
%0 Journal Article
%A A. V. Marinov
%T The Lipschitz condition for a metric projection operator in the space $C[a,b]$
%J Matematičeskie zametki
%D 1977
%P 795-801
%V 22
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_6_a1/
%G ru
%F MZM_1977_22_6_a1
It is proved that the metric projection operator onto a finite-dimensional Chebyshev subspace $M\subset C[a,b]$ locally uniformly satisfies the Lipschitz condition on the set $C[a,b]\setminus M$.
