In this paper we define σ- algebra of sets and give the definition of positive set and negative set and show that any space can be decomposed into the disjoint union of two sets one is positive set and other is negative set with the help of Hahn-Decomposition theorem. Jorden-Decomposition theorem proves that there exist a unique pair (v_1 ,〖 v〗_2) of non negative measures such that at least one of them is finite and v_1 ⊥v_2 and ϑ=v_1-〖 v〗_2.
Impact Factor
2022: 6.012
This work is licensed under a