This is an announcement for the paper “Representations of dual spaces” by Thomas Delzanthttps://arxiv.org/search/math?searchtype=author&query=Delzant%2C+T, Vilmos Komornikhttps://arxiv.org/search/math?searchtype=author&query=Komornik%2C+V.

Abstract: We give a nonlinear representation of the duals for a class of Banach spaces. This leads to classroom-friendly proofs of the classical representation theorems $H'=H$ and $(L^p)'=L^q$. Our proofs extend to a family of Orlicz spaces, and yield as an unexpected byproduct a version of the Helly-Hahn-Banach theorem.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1902.06811