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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1970, Volume 8, Issue 4, Pages 493–498 (Mi mz9613)

Stability of systems of generators of the algebra $C$ on manifolds

A. A. Preobrazhenskii

Voronezh State University

Abstract: 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.

Full text: PDF file (809 kB)

English version:
Mathematical Notes, 1970, 8:4, 746–749

Bibliographic databases:

UDC: 517.5

Citation: A. A. Preobrazhenskii, “Stability of systems of generators of the algebra $C$ on manifolds”, Mat. Zametki, 8:4 (1970), 493–498; Math. Notes, 8:4 (1970), 746–749

Citation in format AMSBIB
\Bibitem{Pre70} \by A.~A.~Preobrazhenskii \paper Stability of systems of generators of the algebra $C$ on manifolds \jour Mat. Zametki \yr 1970 \vol 8 \issue 4 \pages 493--498 \mathnet{http://mi.mathnet.ru/mz9613} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=280745} \zmath{https://zbmath.org/?q=an:0205.13502|0208.38102} \transl \jour Math. Notes \yr 1970 \vol 8 \issue 4 \pages 746--749 \crossref{https://doi.org/10.1007/BF01104376}