SCALAR CONVERGENCE OF CONVEX-SETS

被引：25

作者：

SONNTAG, Y ^{[1
]}

ZALINESCU, C ^{[1
]}

机构：

[1] UNIV IASI,FAC MATH,R-6600 IASI,ROMANIA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1992年 / 164卷 / 01期

关键词：

D O I：

10.1016/0022-247X(92)90154-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the scalar convergence of sequences of convex sets defined by lim(sup θ{symbol}(An)) = θ{symbol}(A) for all θ{symbol} in dual space. New properties are given. Relationship between scalar convergence and other known convergences is examined. Two natural distinct uniformities on nonvoid closed convex sets define the scalar convergence. The associated topology is the weakest such that A → d(A, H) is continuous for each hyperplane H. © 1992.

引用

页码：219 / 241

页数：23

共 50 条

[1] ON MOSCO CONVERGENCE OF CONVEX-SETS
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[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1988, 38 (02) : 239 - 253
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