Equation 21.11.23E1AD8A1437E2

\begin{equation} F^*(m)\coloneqq \sup _{n\in N} \left( \langle m,n \rangle -F(n) \right)=\sup _{n\in \operatorname{RelInt}\operatorname{Dom}F} \left( \langle m,n \rangle -F(n) \right). \end{equation}