Good evening,
I'm having a little trouble with a problem, and I was wondering if you guys could help me out. I'm just not sure what to use and I feel like I am given such little information.
So first, we are given that $f \in L^1(\Omega,A,\mu)$. Now I have to prove that for any $\epsilon > 0 $ you can find a bounded function $g$ with the property that $\int_{\Omega} |f-g|d \mu
So really all I know is that $\int_{\Omega} |f|d \mu < \infty$, because $f \in L^1(\Omega,A,\mu)$. There has to be a clever way to construct the $g$ and $s$, but I'm not seeing it.