suppose $v$ is a signed measure on $(X,M)$ and $E\in M$
how do i go about showing that $|v|(E)=sup\{\sum_1^n |v(E_j)|: E_j\cap E_i=0 \forall i\neq j, \cup_1^n E_j=E\}$
sorry it took me awhile to fix the latex
suppose $v$ is a signed measure on $(X,M)$ and $E\in M$
how do i go about showing that $|v|(E)=sup\{\sum_1^n |v(E_j)|: E_j\cap E_i=0 \forall i\neq j, \cup_1^n E_j=E\}$
sorry it took me awhile to fix the latex