Ordered Topological Vector Spaces |
Contents
Ordered Topological Vector Spaces | 44 |
Intrinsic Topologies of Ordered Vector Spaces | 117 |
Selected Topics in the Theory of Ordered | 138 |
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assertion Banach Banach space band base Chapter choose circled clear closed coincides compact complete vector lattice conclude condition cone K Consequently consisting contains Corollary decreases defined definition determined dual dual system E₁ E₂ element equipped equivalent establish example exists fact finite follows given hand Hausdorff hence implies induced K₁ lattice ideal lattice operations linear mapping linear subspace locally convex lattice locally convex space Math measure Moreover neighborhood basis non-negative norm normal normal cone order bounded order complete vector order continuous order converges order interval order topology order unit ordered topological vector ordered vector space particular positive integer positive linear functional Proof Proposition relation relatively resp respect satisfied sequence sequence space solid space ordered subset Suppose supremum Theorem theory topological vector space weak