About: Order topology (functional analysis)

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Topology of an ordered vector space

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  • Topology of an ordered vector space (en)
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  • Let be a vector lattice with a regular order and let denote its positive cone. Then the order topology on is the finest locally convex topology on for which is a normal cone; it is also the same as the Mackey topology induced on with respect to the duality (en)
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  • Theorem (en)
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  • Order topology (functional analysis) (en)
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