Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 493-498
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A. A. Preobrazhenskii. Stability of systems of generators of the algebra $C$ on manifolds. Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 493-498. http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a8/
@article{MZM_1970_8_4_a8,
author = {A. A. Preobrazhenskii},
title = {Stability of systems of generators of the algebra $C$ on manifolds},
journal = {Matemati\v{c}eskie zametki},
pages = {493--498},
year = {1970},
volume = {8},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a8/}
}
TY - JOUR
AU - A. A. Preobrazhenskii
TI - Stability of systems of generators of the algebra $C$ on manifolds
JO - Matematičeskie zametki
PY - 1970
SP - 493
EP - 498
VL - 8
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a8/
LA - ru
ID - MZM_1970_8_4_a8
ER -
%0 Journal Article
%A A. A. Preobrazhenskii
%T Stability of systems of generators of the algebra $C$ on manifolds
%J Matematičeskie zametki
%D 1970
%P 493-498
%V 8
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a8/
%G ru
%F MZM_1970_8_4_a8
Some problems in approximation theory are investigated. The stability is proved of a concrete system of generators of the algebra $C$ on a ball, with respect to small (in the $C^2$ norm) disturbances. An analogous result is proved for manifolds of the class $C^\infty$ without boundaries and an arbitrary system of generators satisfying certain conditions.
