摘要
研究了Lω-空间的ωδ-收敛理论问题。在Lω-空间中引入分子网和理想的ωδ-极限点和ωδ-聚点等概念,系统讨论了这些概念的特征性质以及它们之间的关系。同时,利用分子网和理想的ωδ-收敛性概念,证明了序同态的(ω1,ω2)δ-连续性的若干充分必要条件。
In this paper, the concepts of an ωδ-1imit point and an ωδ-cluster point with respect to a molecular net and an ideal on an Lω- space are introduced. The characterizations of the concepts and the relations between them are systematically discussed. Meanwhile, some necessary and sufficient conditions of the (ω1,ω2)δ-continuous order-homomorphism are proved.
出处
《模糊系统与数学》
CSCD
北大核心
2014年第6期66-72,共7页
Fuzzy Systems and Mathematics
基金
福建省自然科学基金资助项目(2011J01013)
福建省科技厅资助省属高校专项(JK2013025)