【正文】
of the whole measurable function of Lebesgue . If exists andwe bring into . We can info is a metric space .In this thesis ,we can get an important conclusion “in the measurable function space ,only if each Cauchy function sequence , converges at measurable with measurement, the space is plete .”【Key words】 measurable function , metric space, pletion【指導(dǎo)教師意見】本文通過對可測函數(shù)中,距離收斂等價于測度收斂;利用這一結(jié)論,討論一個例子,文中結(jié)構(gòu)簡明扼要,說理清楚,有一定的基本功。但研究的結(jié)果和方法都有待創(chuàng)新。5Lvkef0@