Assertion: vector measure | /r/HasProperty | function
Facets:
value: given a field of sets
type: OTHER
value: in mathematics
type: OTHER
Source sentences:
text: In mathematics, a vector measure is a function defined on a family of sets and taking vector values satisfying certain properties.
text: Given a field of sets ( Ω , F ) {\displaystyle (\Omega ,{\mathcal {F}})} and a Banach space X {\displaystyle X} , a finitely additive vector measure (or measure, for short) is a function μ :