Proof that "every positive measurable function is a point limit of an increasing sequence of positive simple functions"?

148 Views Asked by At

We all know that

Every positive measurable function is a point limit of an increasing sequence of positive simple functions

I would be very grateful if anyone could suggest a book well illustrates the proof of the previous theorem or a link

1

There are 1 best solutions below

0
On BEST ANSWER

A Modern Theory of Integration - [Robert G.Bartle] - 2001 Theorem 19.15, p. 331