English

A Lower Bound for Grothendieck's Constant

Functional Analysis 2026-04-06 v1 Data Structures and Algorithms

Abstract

We show that Grothendieck's real constant KGK_{G} satisfies KGc+1026K_G\geq c+10^{-26}, improving on the lower bound of c=1.676956674215576c=1.676956674215576\ldots of Davie and Reeds from 1984 and 1991, respectively.

Cite

@article{arxiv.2603.22616,
  title  = {A Lower Bound for Grothendieck's Constant},
  author = {Steven Heilman},
  journal= {arXiv preprint arXiv:2603.22616},
  year   = {2026}
}

Comments

30 pages

R2 v1 2026-07-01T11:34:31.846Z