A positive measure is a measure which is a function from the measurable sets of a measure
space to the extended nonnegative real
numbers ![[0,+infty]](/images/equations/PositiveMeasure/Inline1.svg)
.
Sometimes, this is what is meant by measure, while "positive"
is used to distinguish it from an arbitrary complex
measure.
Positive Measure
See also
Complex Measure, Jordan Measure Decomposition, Lebesgue Integral, Measure, Measure Space, Polar Representation, Real Measure, Signed MeasurePortions of this entry contributed by Todd Rowland
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Cite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "Positive Measure." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PositiveMeasure.html