Question

Let $\mu$ and $\varphi$ be two finite measures on .

Prove that if and only if the condition $6({n})=0$ implies   , for each .

Thank you for your explanations.

Answer 1

# hat u and y be two finite measures on (NP (N)). Prove that MLLY If and if the Condition 4fnly=0 = ({4})=0, for each MEN Proof: we have u and 4 be two finite measure on CN, ACNI) that mean MLM) La 0 Y (N) <0. - and also y {n})=0 & ML&n})=0 - we have to prove that ukcy. From I 4LNILO I WITHTHTITTTTTTTTTTTTTTTTTTT say this show the finite property and with the help of 0 we can Hace. Converse we have ucca we have to show that - 4&n)} =0 = "/{n})=0 tuca) Lo and 4 (NICO i ucco we can say that us(a)} =0 Similarly 4 { (N!}=0 - cs Scannefence Scanner with Camsdalence & fligon u ({n}) 20