An Extension Theorem for convex functions of class $C^{1,1}$ on Hilbert spaces

Daniel Azagra, Carlos Mudarra

Let $\mathbb{H}$ be a Hilbert space, $E\subset \mathbb{H}$ be an arbitrary subset and $f:E\to \mathbb{R},G:E\to \mathbb{H}$ be two functions. We give a nec…