Normal Cones and Continuity of Vector-Valued Convex Functions

被引：0

作者：

Carioli, Andrea ^{[1
]}

Vesely, Libor ^{[1
]}

机构：

[1] Univ Milan, Dipartmento Matemat, I-20133 Milan, Italy

来源：

JOURNAL OF CONVEX ANALYSIS | 2013年 / 20卷 / 02期

关键词：

Convex operator; vector-valued convex function; ordered normal linear space; normal cone;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that convex functions with values in an ordered Banach space Y, whose positive cone Y+ is normal, have the same continuity properties as real-valued convex functions. We show that normality of Y+ is not only sufficient, but also necessary for this.

引用

页码：495 / 500

页数：6