Category:Intersection Complex Measures

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This category contains results about intersection complex measures.
Definitions specific to this category can be found in Definitions/Intersection Complex Measures.


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

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

Let $F \in \Sigma$.


Then the intersection (complex) measure (of $\mu$ by $F$) is the mapping $\mu_F: \Sigma \to \C$, defined by:

$\map {\mu_F} E = \map \mu {E \cap F}$

for each $E \in \Sigma$.

Pages in category "Intersection Complex Measures"

This category contains only the following page.