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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
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
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
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https://www.mathnet.ru/eng/mzm326https://doi.org/10.4213/mzm326 https://www.mathnet.ru/eng/mzm/v71/i1/p37
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Abstract page: | 469 | Full-text PDF : | 225 | References: | 35 | First page: | 1 |
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