English

Representations of dual spaces

Functional Analysis 2019-02-20 v1

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=HH'=H and (Lp)=Lq(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.

Keywords

Cite

@article{arxiv.1902.06811,
  title  = {Representations of dual spaces},
  author = {Thomas Delzant and Vilmos Komornik},
  journal= {arXiv preprint arXiv:1902.06811},
  year   = {2019}
}

Comments

8 pages

R2 v1 2026-06-23T07:44:15.731Z