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In mathematics, specifically in functional analysis and order theory, an ordered topological vector space, also called an ordered TVS, is a topological vector space X that has a partial order ≤ making it into an ordered vector space whose positive cone C := { x ∈ X : x ≥ 0 } {\displaystyle C:=\left\{x\in X:x\geq 0\right\}} is a closed subset of X. Ordered TVS have important applications in spectral theory.
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