Let $(X,M,\mu)$ be non atomic measure space with $\mu(X)>0.$
Show that there is a measurable function $f:X\to [0,\infty),$ for which $\int f(x)d\mu(x)=\infty.$
No idea at all. I am preparing for qualifying so could you help me.
2026-04-03 06:04:28.1775196268
Existence of measurable fuction on non-atomic measure space whose integral is infinity
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