Matematičeskie zametki, Tome 8 (1970) no. 5, pp. 583-594
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A. L. Garkavi. The existence of a best approximating element in $(F)$-space with integral metric. Matematičeskie zametki, Tome 8 (1970) no. 5, pp. 583-594. http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a5/
@article{MZM_1970_8_5_a5,
author = {A. L. Garkavi},
title = {The existence of a~best approximating element in $(F)$-space with integral metric},
journal = {Matemati\v{c}eskie zametki},
pages = {583--594},
year = {1970},
volume = {8},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a5/}
}
TY - JOUR
AU - A. L. Garkavi
TI - The existence of a best approximating element in $(F)$-space with integral metric
JO - Matematičeskie zametki
PY - 1970
SP - 583
EP - 594
VL - 8
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a5/
LA - ru
ID - MZM_1970_8_5_a5
ER -
%0 Journal Article
%A A. L. Garkavi
%T The existence of a best approximating element in $(F)$-space with integral metric
%J Matematičeskie zametki
%D 1970
%P 583-594
%V 8
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a5/
%G ru
%F MZM_1970_8_5_a5
The existence is proved of a best approximation element in finite-dimensional subspaces of linear metric spaces of a class containing, in particular, the space $S[0,1]$ of measurable functions.
