在线阅读 --自然科学版 2000年2期《关于λ-性质的讨论》
关于λ-性质的讨论--[在线阅读]
李刚1, 马玉梅2
1. 河北广播电视大学教务处 河北 石家庄 050071;
2. 河北师范大学数学与信息科学学院 河北 石家庄 050016
起止页码: 162--163页
DOI:
摘要
有些赋范空间的闭单位球具有称作“λ-性质”的几何特征,即闭单位球上的任一点x均可表示为闭单位球端点e和点y(‖y‖≤1)的凸组合.举例说明了若X有λ-性质,那么l(X)和X未必有λ-性质,从而证明X和l(X),X*在λ-性质方面不存在必然联系

Two Open Problems Aboutλ -property
LI Gang1, MA Yu mei2
1. Dean's Office, Hebei TV and Radio University, Shijiazhuang 050071, China;
2. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China
Abstract:
There are many normed spaces, whose closed unit balls have the following geometric property,calledλ -property,in common,each member x of the unit ball is a convex combination,which is an extreme point e of the unit ball and a vector y, where‖ y‖≤ 1 and e is assigned a positive weight.two open problems about λ -property had been proved : though x has the λ -property,l∞ (X ) and X* then need not have theλ -property.

收稿日期: 2000-1-13
基金项目: 国家博士点基金资助项目(88513A)

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