In mathematics, especially in functional analysis, a positive linear functional on an ordered vector space (V, ≤) is a linear functional f on V so that for all positive elements v of V, that is v≥0, it holds that
In other words, a positive linear functional is guaranteed to take nonnegative values for positive elements. The significance of positive linear functionals lies in results such as Riesz representation theorem.
Read more about Positive Linear Functional: Examples
Famous quotes containing the words positive and/or functional:
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Above them swims; and thus the scene,
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—Robert Penn Warren (1905–1989)
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—Federal Writers’ Project Of The Wor, U.S. public relief program (1935-1943)