If v is a signed measure, E is v-null iff .
My proof.
If E is v-null, then , and by the Jordan Decomposition theorem. Therefore is 0? It just seem like something is missing.
Would anyone please tell me what have I miss here? thank you.
If v is a signed measure, E is v-null iff .
My proof.
If E is v-null, then , and by the Jordan Decomposition theorem. Therefore is 0? It just seem like something is missing.
Would anyone please tell me what have I miss here? thank you.