Suppose that v is a signed measure on and

Prove that:

a)

b)

c)

Proof so far.

a) Now , so we have

Since , we have , P and N are disjoint, and N is -null, P is -null.

If I pick , then I will have .

And that proves (a). (b) should be similar I think.

But I'm a bit lost on (c), mainly because of the sums there.

If I rewrite , will it help?

Thank you.