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Matematicheskie Zametki, 2002, Volume 71, Issue 1, Pages 37–42
DOI: https://doi.org/10.4213/mzm326 (Mi mzm326) 		 
This article is cited in 4 scientific papers (total in 4 papers)

An Analog of the Krein–Mil'man Theorem for Strongly Convex Hulls in Hilbert Space

M. V. Balashov

Moscow Institute of Physics and Technology
Full-text PDF (160 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm326
Abstract: We prove the following theorem: in Hilbert space a closed bounded set is contained in the strongly convex $R$-hull of its $R$-strong extreme points. $R$-strong extreme points are a subset of the set of extreme points (it may happen that these two sets do not coincide); the strongly convex $R$-hull of a set contains the closure of the convex hull of the set.
Received: 15.05.2000
English version:
Mathematical Notes, 2002, Volume 71, Issue 1, Pages 34–38
DOI: https://doi.org/10.1023/A:1013970122469
Bibliographic databases:
UDC: 517.977.8
Language: Russian
Citation: M. V. Balashov, “An Analog of the Krein–Mil'man Theorem for Strongly Convex Hulls in Hilbert Space”, Mat. Zametki, 71:1 (2002), 37–42; Math. Notes, 71:1 (2002), 34–38
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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