Monotonicity and Best Approximation in Banach Lattices  

作　　者：Shu Tao CHEN Xin HE H. HUDZIK 

机构地区：[1]Department of Mathematics, Harbin Normal University, Harbin 150080, P. R. China [2]Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznan, Poland

出　　处：《Acta Mathematica Sinica,English Series》2009年第5期785-794,共10页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China, Grant (10471032)

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.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.

关 键 词：Banach lattice uniform monotonicity strict monotonicity upper （lower） locally uniform monotonicity best approximation 

分 类 号：O177.2[理学—数学] O174[理学—基础数学]