Definition 16.5.3 (Finite Measure). Let $(X, \cm)$ be a measurable space and $\mu$ be a signed/vector measure, then $\mu$ is finite if $|\mu|$ is finite.
Definition 16.5.3 (Finite Measure). Let $(X, \cm)$ be a measurable space and $\mu$ be a signed/vector measure, then $\mu$ is finite if $|\mu|$ is finite.