局部凸线性拓扑空间中向量值函数的积分——Ⅰ:T-可测函数

The integral of Tmeasurable functionon local convex linear topological space

在局部凸线性拓扑空间中引入T 可测函数,讨论其性质及其与强可测、弱可测的关系.在一定的条件下,将强可测、弱可测统一为T可测.

Tmeasurable function is introduced in the local convex linear topological space,and its properties and the relationship between strong measurability and weak measurabkility are discussed.On the certain conditions,Tmeasurable function can be seen as special casses of Tmeasurable function.