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Positive linear functional
In mathematics, more specifically in functional analysis, a positive linear functional on an ordered vector space ( V , ≤ ) {\displaystyle (V,\leq )} is a linear functional f {\displaystyle f} on V {\displaystyle V} so that for all positive elements v ∈ V , {\displaystyle v\in V,} that is v ≥ 0 , {\displaystyle v\geq 0,} it holds that f ( v ) ≥ 0.…
Examples, Sufficient conditions for continuity of all positive linear functionals & Positive linear functionals (C*-algebras)