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arXiv · 1902.06811

Representations of dual spaces

Thomas Delzant·Vilmos Komornik
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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.

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Thomas Delzant, Vilmos Komornik. 2019-02-18. Representations of dual spaces. https://arxiv.org/abs/1902.06811

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