Category:Definitions/Variation of Signed Measure

This category contains definitions related to Variation of Signed Measure.
Related results can be found in Category:Variation of Signed Measure.

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

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

Let $\struct {\mu^+, \mu^-}$ be the Jordan decomposition of $\mu$.

We define the variation $\size \mu$ of $\mu$ by:

$\size \mu = \mu^+ + \mu^-$