A Lower Bound for Grothendieck's Constant

Fuente: arXiv
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Main Author: Heilman, Steven
Format: Preprint
Published: 2026
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_version_ 1866911564170264576
author Heilman, Steven
author_facet Heilman, Steven
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_22616
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Lower Bound for Grothendieck's Constant
Heilman, Steven
Functional Analysis
Data Structures and Algorithms
15A60, 15A45, 90C27, 90C22, 42C10, 68Q17
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.
title A Lower Bound for Grothendieck's Constant
topic Functional Analysis
Data Structures and Algorithms
15A60, 15A45, 90C27, 90C22, 42C10, 68Q17
url https://arxiv.org/abs/2603.22616