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Elementary Proofs of Grothendieck Theorems for Completely Bounded Norms

Regev, Oded and Vidick, Thomas (2012) Elementary Proofs of Grothendieck Theorems for Completely Bounded Norms. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160318-152323237

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Abstract

We provide alternative proofs of two recent Grothendieck theorems for jointly completely bounded bilinear forms, originally due to Pisier and Shlyakhtenko (Invent. Math. 2002) and Haagerup and Musat (Invent. Math. 2008). Our proofs are elementary and are inspired by the so-called embezzlement states in quantum information theory. Moreover, our proofs lead to quantitative estimates.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1206.4025arXivDiscussion Paper
ORCID:
AuthorORCID
Vidick, Thomas0000-0002-6405-365X
Additional Information:We thank Gilles Pisier for allowing us to include Claim 11. We also thank him and Carlos Palazuelos for useful comments.
Record Number:CaltechAUTHORS:20160318-152323237
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160318-152323237
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:65489
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 Mar 2016 22:29
Last Modified:18 Mar 2016 22:29

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