L-保序算子空间的ω-紧性  

ω-compactness in L-order-preserving operator spaces

作　　者：韩红霞[1] 孟广武[2] 

机构地区：[1]运城学院应用数学系,山西运城044000 [2]聊城大学数学科学学院,山东聊城252059

出　　处：《纯粹数学与应用数学》2009年第2期390-395,共6页Pure and Applied Mathematics

基　　金：山东省自然科学基金(Y2003A01)

摘　　要：研究了L-保序算子空间的ω-紧性.借助于Hα-ω-开覆盖,定义了L-保序算子空间的ω-紧性,证明了ω-紧集和ω-闭集之交是ω-紧的,ω-紧性被连续的广义Zadeh型函数所保持,ω-紧性是L-好的推广,Tychonoff乘积定理成立.此外,给出了ω-紧性的网式刻画.The ω-compactness of L-order-preserving operator spaces is discussed. By means of Hα-ω-open cover, the notion of ω-compactness of L-order-preserving operator spaces is introduced. It is proved that the intersection of a ω-compact L-set and a closed L-set is ω-compact, that ω-compactness is preserved by continuously generalized Zadeh functions, that ω-compactness is an L-good extension, and that the Tychonoff Theorem for ω-compactness is true. Moreover, ω-compactness can also be characterized by nets.

关 键 词：L保序算子空间 Hα-ω-开覆盖 ω-紧性 

分 类 号：O189[理学—数学]