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# Bounded Function : Signed Baire Measure

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Show that each bounded function F of bounded variation gives rise to a finite signed Baire measure v such that

v (a,b] = F(b+) minus F(a+)

https://brainmass.com/math/graphs-and-functions/bounded-function-signed-baire-measure-46044

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Signed Baire measure
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Show that each bounded function F of bounded variation
gives rise to a finite signed Baire measure v such that

v (a,b] = F(b+) minus F(a+)

RECALL:

A measure  on (X, M) is a Baire measure on X, if (E) <  where E is a bounded(Borel)set.

If  is a finite Baire measure. Then we have:

F(x): = ((-, x]), where F is the cumulative ...

#### Solution Summary

A Signed Baire Measure is investigated. The solution is detailed and well presented.

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