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.
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Famous quotes containing the words positive and/or functional:
“The most positive men are the most credulous.”
—Jonathan Swift (1667–1745)
“In short, the building becomes a theatrical demonstration of its functional ideal. In this romanticism, High-Tech architecture is, of course, no different in spirit—if totally different in form—from all the romantic architecture of the past.”
—Dan Cruickshank (b. 1949)