I'm trying to prove the following:(adsbygoogle = window.adsbygoogle || []).push({});

I ran into a roadblock at the end. I can't use the assumption that [itex]\mu[\itex] is additive because we don't know that [itex](\cup{A_k}) \cap A_{j + 1} = \emptyset[\itex].

We do know that [itex]\mu(\cup_{k=1}^jA_k) + \mu(A_{j + 1} \leq \sum_{k=1}^{j+1}\mu(A_k)[\itex].

**Physics Forums - The Fusion of Science and Community**

# If u is a nonnegative, additive function, then u is countably subadditive

Have something to add?

- Similar discussions for: If u is a nonnegative, additive function, then u is countably subadditive

Loading...

**Physics Forums - The Fusion of Science and Community**