Lemma 21.4.2.label Let $(X, \cm)$ be a measurable space, $\mu$ be a positive measure on $(X, \cm)$, and $\nu$ be a signed measure or vector measure on $(X, \cm)$, then $\nu \ll \mu$ if and only if $|\nu| \ll \mu$.
Lemma 21.4.2.label Let $(X, \cm)$ be a measurable space, $\mu$ be a positive measure on $(X, \cm)$, and $\nu$ be a signed measure or vector measure on $(X, \cm)$, then $\nu \ll \mu$ if and only if $|\nu| \ll \mu$.
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