Inverses of disjointness preserving operators
Inverses of disjointness preserving operators
复制标题
不相交保留算子的逆
DOI：
10.1090/memo/0679
复制
发表时间：
1999
影响因子：
0.8
通讯作者：
Ya-Shu Wang
中科院分区：
文献类型：
--
作者：
Denny H. Leung;李磊;Ya-Shu Wang
阐述了问题的一些历史概要主要结果概述了McPolin-Wickstead和Huijsmann-de Pagter-Koldunov定理回顾了d-基保持带算子和带投影中心算子和Huijsmann-de Pagter-Koldunov定理中的问题A和B值域交换问题d-分裂算子的数目本质上是一维和离散的向量格本质上不变的函数和算子在$C[0，1]上的反例Dedeind完全向量格和问题A和B推广到$(R_U)$-完全向量格打开的问题索引。
Setting forth the problems Some history Synopsis of the main results Preliminaries The McPolin-Wickstead and Huijsmans-de Pagter-Koldunov Theorems revisited d-bases Band preserving operators and band-projections Central operators and Problems A and B Range-domain exchange in the Huijsmans-de Pagter-Koldunov Theorem d-splitting number of disjointness preserving operators Essentially one-dimensional and discrete vector lattices Essentially constant functions and operators on $C[0,1]$ Counterexamples Dedekind complete vector lattices and Problems A and B Generalizations to $(r_u)$-complete vector lattices Open problems References Index.