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Matematicheskie Zametki, 1970, Volume 8, Issue 5, Pages 545–550 (Mi mzm7002)  
This article is cited in 17 scientific papers (total in 17 papers)

Almost convex and Chebyshev sets

L. I. Vlasov

V. A. Steklov Institute of Mathematics, Sverdlovsk Branch of the Academy of Sciences of USSR
Full-text PDF (428 kB) Citations (17)
Abstract: Properties of normed spaces in which every almost convex set is convex are derived. In such spaces every Chebyshev set with a continuous metric projection is convex.
Received: 20.01.1969
English version:
Mathematical Notes, 1970, Volume 8, Issue 5, Pages 776–779
DOI: https://doi.org/10.1007/BF01146931
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: L. I. Vlasov, “Almost convex and Chebyshev sets”, Mat. Zametki, 8:5 (1970), 545–550; Math. Notes, 8:5 (1970), 776–779
Citation in format AMSBIB
\Bibitem{Vla70}
\by L.~I.~Vlasov
\paper Almost convex and Chebyshev sets
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 5
\pages 545--550
\mathnet{http://mi.mathnet.ru/mzm7002}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=276736}
\zmath{https://zbmath.org/?q=an:0217.16301|0203.12101}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 5
\pages 776--779
\crossref{https://doi.org/10.1007/BF01146931}
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  • https://www.mathnet.ru/eng/mzm/v8/i5/p545
    • This publication is cited in the following 17 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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