Matematičeskie zametki, Tome 14 (1973) no. 2, pp. 185-195
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V. G. Krotov. On series with respect to the Faber–Schauder system and with respect to the bases of the space $C[0,1]$. Matematičeskie zametki, Tome 14 (1973) no. 2, pp. 185-195. http://geodesic.mathdoc.fr/item/MZM_1973_14_2_a2/
@article{MZM_1973_14_2_a2,
author = {V. G. Krotov},
title = {On series with respect to the {Faber{\textendash}Schauder} system and with respect to the bases of the space $C[0,1]$},
journal = {Matemati\v{c}eskie zametki},
pages = {185--195},
year = {1973},
volume = {14},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_2_a2/}
}
TY - JOUR
AU - V. G. Krotov
TI - On series with respect to the Faber–Schauder system and with respect to the bases of the space $C[0,1]$
JO - Matematičeskie zametki
PY - 1973
SP - 185
EP - 195
VL - 14
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_2_a2/
LA - ru
ID - MZM_1973_14_2_a2
ER -
%0 Journal Article
%A V. G. Krotov
%T On series with respect to the Faber–Schauder system and with respect to the bases of the space $C[0,1]$
%J Matematičeskie zametki
%D 1973
%P 185-195
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_2_a2/
%G ru
%F MZM_1973_14_2_a2
In this paper we investigate the sequence of coefficients of the expansions of continuous functions with respect to normed and quasinormed bases of the space $C[0,1]$. In this connection one makes use in an essential way of the properties of the Faber–Schauder system of functions. Some adjoining questions are investigated.
