AI summaryⓘ
The authors prove a new upper bound for the Grothendieck constant, showing it is slightly less than a specific mathematical expression involving π and logarithms. Their result is an improvement over a previous bound established by Braverman and colleagues. This contributes to a better understanding of the constant's exact value, which is important in functional analysis and related fields.
Grothendieck constantupper boundπ (pi)logarithmfunctional analysismathematical constantsinequalityBraverman et al.
Authors
Alan Li, Rahul Saha, Anton Xue, Adam Klivans, Pravesh K Kothari, Raghu Meka, Swarat Chaudhury
Abstract
We prove that the Grothendieck constant $K_G < $\fracπ{2 \log (1+ \sqrt{2})} - 10^{-5}$. This improves on the work of braverman et. al.