Elementary proofs of Grothendieck theorems for completely bounded norms
Oded Regev, Thomas Vidick · Journal of Operator Theory · 2014
We provide alternative proofs of two recent Grothendieck theorems for jointly completely bounded bilinear forms, originally due to Pisier and Shlyakhtenko [PS02] and Haagerup and Musat [HM08].Our proofs are elementary and are inspired by the so-called embezzlement states in quantum information theory.Moreover, our proofs lead to quantitative estimates.