e*******6
发帖数: 13 | 1 请教怎么证明这道题，没有想出来...
For a set E
1) m*(O-E)
2) m*(E-F)
Prove they are equivalent.
我还有一个问题,是证明任何measurable function都是limit of a sequence of
continuous functions almost everywhere.
这是一道作业题，我用step function approximate measurable function. 然后把这
个step function sequence改成continuous function,感觉不严密。我找到的书上的证
明都在GTM里面用到functional analysis...想请教高人有没有更accessible的方法 | e*******6
发帖数: 13 | |
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