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Russian Mathematical Surveys, 1973, Volume 28, Issue 6, Pages 1–66
DOI: https://doi.org/10.1070/RM1973v028n06ABEH001624 (Mi rm4976) 		 
This article is cited in 131 scientific papers (total in 132 papers)

Approximative properties of sets in normed linear spaces

L. P. Vlasov
English version PDF (3615 kB) Citations (132) Russian version article
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DOI: https://doi.org/10.1070/RM1973v028n06ABEH001624
Abstract: This article presents results on Chebyshev sets and related questions. It is mainly concerned with proving the connectedness, “solarity” and convexity of Chebyshev sets and their generalizations under additional assumptions. Also considered are certain questions of approximative compactness, continuity of the metric projection, and various approximative-geometric properties of sets. We study the relationships between “suns” and conditions for the convexity of “suns”. Papers on the above topics are surveyed.
Received: 12.07.1973
Bibliographic databases:
Document Type: Article
UDC: 519.9
MSC: 41A50, 46Bxx, 26B25, 18B30
Language: English
Original paper language: Russian
Citation: L. P. Vlasov, “Approximative properties of sets in normed linear spaces”, Russian Math. Surveys, 28:6 (1973), 1–66
Citation in format AMSBIB
\Bibitem{Vla73}
\by L.~P.~Vlasov
\paper Approximative properties of sets in normed linear spaces
\jour Russian Math. Surveys
\yr 1973
\vol 28
\issue 6
\pages 1--66
\mathnet{http://mi.mathnet.ru//eng/rm4976}
\crossref{https://doi.org/10.1070/RM1973v028n06ABEH001624}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=404963}
\zmath{https://zbmath.org/?q=an:0291.41028|0293.41031}
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    • This publication is cited in the following 132 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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