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    Signed measures

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    If v is a signed measure, E is v-null if |v|(E)=0

    © BrainMass Inc. brainmass.com March 4, 2021, 5:43 pm ad1c9bdddf

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    Proof. "<==" Since |v|(E)=v+(E)+v-(E)=0
    v+(E)=v-(E)=0. Since v+ and v- are positive measures, v+(E)=v-(E)=0. So ...

    Solution Summary

    This is a proof regarding signed measures.