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Matematicheskie Zametki, 1975, Volume 17, Issue 2, Pages 193–204 (Mi mzm7239)  
This article is cited in 16 scientific papers (total in 16 papers)

The connectivity and approximative properties of sets in linear normed spaces

V. A. Koshcheev

Institute of Mathematics and Mechanics, Ural Scientific Center, Academy of Sciences, USSR
Full-text PDF (917 kB) Citations (16)
Abstract: The connectivity of suns is investigated. It is shown that a sun is connected in finite-dimensional space. A set $M$ in uniformly convex space $X$ is shown to be approximatively compact if and only if $M$ is $P$-compact and the metric projection of $X$ onto $M$ is upper semicontinuous.
Received: 11.01.1974
English version:
Mathematical Notes, 1975, Volume 17, Issue 2, Pages 114–119
DOI: https://doi.org/10.1007/BF01161866
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. A. Koshcheev, “The connectivity and approximative properties of sets in linear normed spaces”, Mat. Zametki, 17:2 (1975), 193–204; Math. Notes, 17:2 (1975), 114–119
Citation in format AMSBIB
\Bibitem{Kos75}
\by V.~A.~Koshcheev
\paper The connectivity and approximative properties of sets in linear normed spaces
\jour Mat. Zametki
\yr 1975
\vol 17
\issue 2
\pages 193--204
\mathnet{http://mi.mathnet.ru/mzm7239}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=399727}
\zmath{https://zbmath.org/?q=an:0327.41029}
\transl
\jour Math. Notes
\yr 1975
\vol 17
\issue 2
\pages 114--119
\crossref{https://doi.org/10.1007/BF01161866}
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  • https://www.mathnet.ru/eng/mzm/v17/i2/p193
    • This publication is cited in the following 16 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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