可测空间上复值可测函数列的统计收敛与经典收敛关系  

The Relation of Statistical Convergence and Classical Convergence of Complex-valued Measurable Functions on Measurable Space

作　　者：李清霞 

机构地区：[1]泉州幼儿高等师范专科学校初等教育系,福建泉州362000

出　　处：《宜宾学院学报》2014年第6期23-25,共3页Journal of Yibin University

摘　　要：证明了可测空间(x,μ)上统计收敛的复值可测函数列一定存在某一子列几乎处处收敛;反之,若复值可测函数列几乎处处收敛必定能推出其是统计收敛的,也必定是依测度收敛的.The fact that there is one subsequence which is almost convergence of complex-valued measurable functions which are statistical convergence on measurable space（X,μ） was proved.There is one subsequence which is almost convergence of complex-valued measurable functions which is measure convergence.Contrarily,complex-valued measurable functions which were almost convergence must be statistical convergence and measure convergence.

关 键 词：统计收敛 几乎处处收敛 测度收敛 复值可测函数列 

分 类 号：O189.13[理学—数学]