The Grothendieck constant is strictly smaller than Krivine's bound

arxiv: 1103.6161 · v3 · pith:BT7VBJMSnew · submitted 2011-03-31 · 🧮 math.FA · cs.DS

Mark Braverman , Konstantin Makarychev , Yury Makarychev , Assaf Naor This is my paper

classification 🧮 math.FA cs.DS

keywords constantgrothendieckboundfrackrivineprovesmallersqrt

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

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