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 C2 norm) disturbances. An analogous result is proved for manifolds of the class C∞ without boundaries and an arbitrary system of generators satisfying certain conditions.
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Translated from Matematicheskie Zametki, Vol. 8, No. 4, pp. 493–498, October, 1970.
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Preobrazhenskii, A.A. Stability of systems of generators of the algebra C on manifolds. Mathematical Notes of the Academy of Sciences of the USSR 8, 746–749 (1970). https://doi.org/10.1007/BF01104376
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DOI: https://doi.org/10.1007/BF01104376