Assertion: vector measure | /r/HasProperty | additive
Facets:
value: for any sequence
type: OTHER
Source sentences:
text: It can be proved that an additive vector measure μ {\displaystyle \mu } is countably additive if and only if for any sequence ( A i )
text: A vector measure μ {\displaystyle \mu } is called countably additive if for any sequence ( A i )
text: Countably additive vector measures defined on sigma-algebras are more general than finite measures, finite signed measures, and complex measures, which are countably additive functions taking values respectively on the real interval [ 0 , ∞ ) , {\displaystyle [0,\infty ),} the set of real numbers, and the set of complex numbers.