摘要
借助ω-连通集,在L-保序算子空间中引入s-(ω1,ω2)-连续序同态和(ω1,ω2)-半连通序同态以及ω-半局部连通空间的概念,讨论了这两种序同态与(ω1,ω2)-连续序同态之间的关系;并关于s-(ω1,ω2)-连续序同态给出了ω-半局部连通空间的特征刻画。
By means of ω-connected sets, the concepts of s-（ω1 ,ω2）-continuous order homomorphism, （ω1, ω2）-semiconnected order homomorphism and ω-semilocally connected spaces are introduced in L-order-preserving operator spaces. Interactions between these concepts and （ω1 ,ω2）-continuous order homomorphism are discussed. Also,characterizations of ω-semilocally connected spaces in terms of s-（ω1,ω2）-continuous order homomorphism are obtained.
出处
《模糊系统与数学》
CSCD
北大核心
2007年第2期14-18,共5页
Fuzzy Systems and Mathematics
基金
山东省自然科学基金资助项目(Y2003A01)
运城学院科研项目(20060220)
关键词
L-保序算予空间
连续序同态
ω-连通集
L-order-preserving Operator Spaces
Continuous Order Homomorphism
ω-connectedSets
