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On Super Weakly Compact Convex Sets and Representation of the Dual of the Normed Semigroup They Generate

On Super Weakly Compact Convex Sets and Representation of the Dual of the Normed Semigroup They Generate

Abstract In this note, we first give a characterization of super weakly compact convex sets of a Banach space X: a closed bounded convex set K ⊂ X is super weakly compact if and only if there exists a w* lower semicontinuous seminorm p with p ≥ σ K ≌ …