English

Subspaces of $\ell_1$ satisfying Grothendieck's theorem

Functional Analysis 2025-01-23 v1

Abstract

We characterize the subspaces XX of 1\ell_1 satisfying Grothendieck's theorem in terms of extension of nonnegative quadratic forms q:XRq:X \longrightarrow \mathbb R to the whole 1\ell_1.

Keywords

Cite

@article{arxiv.2501.12715,
  title  = {Subspaces of $\ell_1$ satisfying Grothendieck's theorem},
  author = {Jesús Suárez},
  journal= {arXiv preprint arXiv:2501.12715},
  year   = {2025}
}