Some results for best coapproximation on Banach lattices

被引：0
|
作者：
Abrishami-Moghaddam, Majid [1 ]
机构：
[1] Islamic Azad Univ, Birjand Branch, Dept Math, Birjand, Iran
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2021年 / 45期
关键词：
best coapproximation; Banach lattice spaces; downward set; quotient spaces; APPROXIMATION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce the concept of best coapproximation on Banach lattices with a strong unit. We study the existence problem of best coapproximation in these spaces. Also, we develop the theory of best coapproximation in quotient of Banach lattice spaces and discuss about the relationship between the coproximinal elements of a given space and its quotient space. Finally, we show that every lattice isomorphism is an coapproximation preserving operator.
引用
收藏
页码：349 / 359
页数：11
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