Let Γ(X) denote the proper, lower semicontinuous, convex functions on a normed linear space, and let Γ*(X*) denote the proper, weak*-lower semicontinuous, convex functions on the dual X* of X. It is ...
Given a separated dual system (E, E'), the Fenchel transform determines a pairing of the convex functions on E with the convex functions on E'. This operation is shown to have a continuity property.
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