A Lower Bound for Grothendieck's Constant
arXiv:2603.2261638.41 citationsh-index: 10
AI Analysis
For mathematicians studying Banach spaces and operator theory, this provides a marginal improvement to a fundamental constant.
The paper improves the lower bound for Grothendieck's real constant from 1.676956674215576... to at least c+10^{-26}, a tiny but rigorous improvement over the 1984/1991 bound.
We show that Grothendieck's real constant $K_{G}$ satisfies $K_G\geq c+10^{-26}$, improving on the lower bound of $c=1.676956674215576\ldots$ of Davie and Reeds from 1984 and 1991, respectively.