The Grothendieck constant is strictly smaller than Krivine's bound

Details The Grothendieck constant is strictly smaller than Krivine's bound The Grothendieck constant is strictly smaller than Krivine's bound

2011-03-31

arxiv.org/abs/1103.6161v3

Mathematics

Functional Analysis

An extended abstract describing the contents of this work will appear in FOCS 2011. Suggestions of the FOCS reviewers have bee

Scientific paper

We prove that $K_G<\frac{\pi}{2\log(1+\sqrt{2})}$, where $K_G$ is the
Grothendieck constant.

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