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

被引：0
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作者：
M. V. Balashov
机构：
[1] Moscow Institute for Physics and Technology,
来源：
Mathematical Notes | 2002年 / 71卷
关键词：
Hilbert space; convexity; extreme point; strongly extreme point; -exposed point; strongly convex hull;
D O I：
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学科分类号：
摘要：
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.
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页码：34 / 38
页数：4
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