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Matematicheskie Zametki, 1972, Volume 11, Issue 2, Pages 135–144 (Mi mzm9772)  
This article is cited in 9 scientific papers (total in 9 papers)

Some theorems on Chebyshev sets

L. P. Vlasov

Institute of Mathematics and Mechanics, Academy of Sciences of the USSR
Full-text PDF (1191 kB) Citations (9)
Abstract: We consider the class of $\delta$-suns which is used in the study of Chebyshev sets. We give sufficient conditions for a set to be a $\delta$-sun. We prove that, in a uniformly smooth Banach space, a weakly closed Chebyshev set is convex.
Received: 20.10.1970
English version:
Mathematical Notes, 1972, Volume 11, Issue 2, Pages 87–92
DOI: https://doi.org/10.1007/BF01097922
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: L. P. Vlasov, “Some theorems on Chebyshev sets”, Mat. Zametki, 11:2 (1972), 135–144; Math. Notes, 11:2 (1972), 87–92
Citation in format AMSBIB
\Bibitem{Vla72}
\by L.~P.~Vlasov
\paper Some theorems on Chebyshev sets
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 2
\pages 135--144
\mathnet{http://mi.mathnet.ru/mzm9772}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=299998}
\zmath{https://zbmath.org/?q=an:0251.41019}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 2
\pages 87--92
\crossref{https://doi.org/10.1007/BF01097922}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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