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complex measure,total variation

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let m be a $\sigma$_algebra , and$\mu$ is a complex measure on X,if $\left|\mu\right|$(X)=$\mu$(X)

show that $\mu$(E)=$\mu$(E) for each E member of $\sigma$_ algebra m.I tried to prove, but unfortunately I could not do it.

Any hints would be appreciated.


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