Category:Total Variation of Complex Measure

This category contains results about Total Variation of Complex Measure.
Definitions specific to this category can be found in Definitions/Total Variation of Complex Measure.

Let $\struct {X, \Sigma}$ be a measurable space.

Let $\mu$ be a complex measure on $\struct {X, \Sigma}$.

Let $\cmod \mu$ be the variation of $\mu$.

We define the total variation $\norm \mu$ of $\mu$ by:

$\norm \mu = \map {\cmod \mu} X$