If $\displaystyle \nu$ is a complex measure on $\displaystyle (X,\mathcal{M})$ and $\displaystyle \nu(X)=|\nu|(X)$, then $\displaystyle \nu=|\nu|$.

Printable View

- Nov 27th 2011, 10:15 AMkierkegaardComplex measure
If $\displaystyle \nu$ is a complex measure on $\displaystyle (X,\mathcal{M})$ and $\displaystyle \nu(X)=|\nu|(X)$, then $\displaystyle \nu=|\nu|$.