Order continuous operators on CD0(K, E) and CDw(K, E)-spaces

被引：0
|
作者：
Polat, Faruk [1 ]
机构：
[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2011年 / 35卷 / 01期
关键词：
CD0(K)-spaces; order continuous operators; isometric lattice isomorphism;
D O I：
10.3906/mat-0903-32
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In [2], Alpay and Ercan characterized order continuous duals of spaces CD0(K E) and CDw(K, E) where K is a compact Hausdorff space without isolated points and E is a Banach lattice. In this note, we generalize their results to an arbitrary Dedekind complete Banach lattice F, that is to say, we characterize order continuous operators on these spaces taking values in an arbitrary Dedekind complete Banach lattice F.
引用
收藏
页码：101 / 106
页数：6
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