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REGULARITY CONDITIONS FOR FORMULAE OF BICONJUGATE FUNCTIONS

REGULARITY CONDITIONS FOR FORMULAE OF BICONJUGATE FUNCTIONS

When the dual of a normed space $X$ is endowed with the weak$^*$ topology, the biconjugates of the proper convex lower semicontinuous functions defined on $X$ coincide with the functions themselves. This is not the case when $X^*$ is endowed with the strong topology. Working in the latter framework, we …