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Matematicheskie Zametki, 1970, Volume 7, Issue 5, Pages 593–604 (Mi mzm9543)  

This article is cited in 7 scientific papers (total in 7 papers)

Approximate properties of sets in Banach spaces

L. P. Vlasov

Sverdlovsk Branch, V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR
Abstract: Various generalizations of the notion of “sun” are considered and connections among them are established. A series of results from works of the author on Chebyshev sets are restated in new terms. It is proved that a Chebyshev set with a continuous metric projection is convex in a smooth reflexive space.
Received: 30.06.1969
English version:
Mathematical Notes, 1970, Volume 7, Issue 5, Pages 358–364
DOI: https://doi.org/10.1007/BF01123847
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: L. P. Vlasov, “Approximate properties of sets in Banach spaces”, Mat. Zametki, 7:5 (1970), 593–604; Math. Notes, 7:5 (1970), 358–364
Citation in format AMSBIB
\Bibitem{Vla70}
\by L.~P.~Vlasov
\paper Approximate properties of sets in Banach spaces
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 5
\pages 593--604
\mathnet{http://mi.mathnet.ru/mzm9543}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=265849}
\zmath{https://zbmath.org/?q=an:0205.12302|0198.45903}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 5
\pages 358--364
\crossref{https://doi.org/10.1007/BF01123847}
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  • https://www.mathnet.ru/eng/mzm/v7/i5/p593
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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