Every finite signed measure ν on (X, Σ) admits a partition of X into a positive set P (ν(A∩P) ≥ 0 ∀A) and a negative set N. The decomposition is unique up to a ν-null set. Foundation of the Jordan decomposition.
Every finite signed measure ν on (X, Σ) admits a partition of X into a positive set P (ν(A∩P) ≥ 0 ∀A) and a negative set N. The decomposition is unique up to a ν-null set. Foundation of the Jordan decomposition.