Geodesic
Stability of systems of generators of the algebra $C$ on manifolds
Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 493-498

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@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},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {1970},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a8/
%G ru
%F MZM_1970_8_4_a8
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/