[Banach] Abstract of a paper by Mark Braverman, Konstantin Makarychev, Yury Makarychev, and Assaf Naor

This is an announcement for the paper "The Grothendieck constant is strictly smaller than Krivine's bound" by Mark Braverman, Konstantin Makarychev, Yury Makarychev, and Assaf Naor. Abstract: We prove that $K_G<\frac{\pi}{2\log\left(1+\sqrt{2}\right)}$, where $K_G$ is the Grothendieck constant. Archive classification: math.FA Submitted from: naor@cims.nyu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.6161 or http://arXiv.org/abs/1103.6161