Monotonicity and best approximation in Banach lattices

被引：0

作者：

Shu Tao Chen

Xin He

H. Hudzik

机构：

[1] Harbin Normal University,Department of Mathematics

[2] Adam Mickiewicz University,Faculty of Mathematics and Computer Science

来源：

Acta Mathematica Sinica, English Series | 2009年 / 25卷

关键词：

Banach lattice; uniform monotonicity; strict monotonicity; upper (lower) locally uniform monotonicity; best approximation; 41A65; 46B42;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Hudzik and Kurc discussed some best approximation problems in Banach lattices by means of monotonicities. This paper deals with more general best approximation problems in Banach lattices. Existence, uniqueness, stability and continuity for such best approximation problems are discussed.

引用

页码：785 / 794

页数：9

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