DSJun 2
The Grothendieck Constant is Less Than $\fracπ{2 \log (1+ \sqrt{2})} - 10^{-5}$
arXiv:2606.0399157.4
Predicted impact top 9% in DS · last 90 daysOriginality Synthesis-oriented
AI Analysis
This is an incremental improvement on a known constant in functional analysis, of interest to mathematicians working on operator theory and Banach spaces.
The authors prove a new upper bound on the Grothendieck constant, improving the previous best bound by a small additive factor of about 10^{-5}.
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.