Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


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




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 1970, Volume 8, Issue 4, Pages 493–498 (Mi mzm9613)  
Stability of systems of generators of the algebra $C$ on manifolds

A. A. Preobrazhenskii

Voronezh State University
Full-text PDF (809 kB)
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.
Received: 06.07.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 4, Pages 746–749
DOI: https://doi.org/10.1007/BF01104376
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
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/mzm9613}
\mathscinet{http://mathscinet.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}
Linking options:
  • https://www.mathnet.ru/eng/mzm9613
  • https://www.mathnet.ru/eng/mzm/v8/i4/p493
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:146
    Full-text PDF :53
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024