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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-06-03 and was most recently seen on 2026-06-03.
In functional analysis, the Dixmier–Ng theorem is a characterization of when a normed space is in fact a dual Banach space. It was proven by Kung-fu Ng, who called it a variant of a theorem proven earlier by Jacques Dixmier.Dixmier-Ng theorem. Let be a normed space. The following are equivalent:There exists a Hausdorff locally convex topology on so that the closed unit ball, , of is -compact.
There exists a Banach space so that is isometrically isomorphic to the dual of .
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