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关于共轭空间X~*中有界闭凸集的端点
引用本文:宫彦萍,刘学涛.关于共轭空间X~*中有界闭凸集的端点[J].高师理科学刊,1991(2).
作者姓名:宫彦萍  刘学涛
作者单位:齐齐哈尔师范学院数学系 (宫彦萍),黑龙江省林业干部学院(刘学涛)
摘    要:本文首先给出一个反例,说明共轭空间X中有界闭凸集可以无端点,从而指出了《最优控制系统的微分方程理论》一文引理3的错误,并指出此引理结论成立的条件。

关 键 词:共轭空间  凸集  端点

On the Extreme point of Bounded Closed Convex Set in Conjugate Space X
Gong Yanping Liu Xuetao.On the Extreme point of Bounded Closed Convex Set in Conjugate Space X[J].Journal of Science of Teachers'College and University,1991(2).
Authors:Gong Yanping Liu Xuetao
Institution:Gong Yanping Liu Xuetao (Dopartment of Mathematics) (Qiqihar Forestry Mansgament Cadres' College)
Abstract:In this paper an opposite example is given at first in order to prove that there may be no extreme point in bounded closed convex in conjugate space X.In this this way it shows 2] ch. 2 of Lemma 3 is incorrect and points out the conditions that make the conclusion of this lemma tanable.
Keywords:Conjugate space Convex set Extreme point  
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