L-fuzzy保序算子空间上的Moore-Smith收敛理论

Moore-Smith Convergence Theory on L-fuzzy Order-preserving Operator Spaces

在L fuzzy保序算子空间上引入分子网和理想的ω 极限点和ω 聚点等概念 ,系统地讨论这些概念的基本性质以及它们之间的关系 .同时 ,利用分子网和理想的ω 收敛性概念 ,给出ω 闭集以及序同态的(ω1,ω2 ) 连续性的若干特征定理 .较为完整地建立L fuzzy保序算子空间上的Moore Smith收敛理论 .

In this paper,the concepts of an ω-limit point and an ω-cluster point with respect to a molecular net and an ideal in an L-fuzzy order-preserving operator space are introduced. The characterizations of the concepts and the relations between them are systematically discussed.Meanwhile,some character theorems of ω-closed sets and (ω 1,ω 2)-continuous order-homomorphisms are given.Therefore,the Moore-Smith ω-convergence theory on an L-fuzzy order-preserving operator space is more entirely established.