摘要
本文系统且综合地论述抽象可测空间可测函数列的各种收敛概念及给出关系图,并应用关系图简捷地证明一些结论。
In this paper,the different kinds of convergences for the sequence of real valued func-tions defined on a abstract measure space are systematically investigated and diagram of a relationalsystem are given. A lot ofresults dealing with convergences are simplc and directly given with the di-agram of a relational system.
出处
《云南师范大学学报(自然科学版)》
1994年第1期8-17,共10页
Journal of Yunnan Normal University:Natural Sciences Edition
关键词
可测函数
收敛性
几乎处处收敛
Measurable functions Convergence Uniform convergence Almost everywhereconvergence Almost everywherc uniform convergence Nearly convergence Nearly uniformconverence Convergence in measure.