On the Grothendieck Theorem for jointly completely bounded bilinear forms
Operator Algebras
2015-12-02 v2 Functional Analysis
Abstract
We show how the proof of the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras by Haagerup and Musat can be modified in such a way that the method of proof is essentially C*-algebraic. To this purpose, we use Cuntz algebras rather than type III factors. Furthermore, we show that the best constant in Blecher's inequality is strictly greater than one.
Keywords
Cite
@article{arxiv.1210.3256,
title = {On the Grothendieck Theorem for jointly completely bounded bilinear forms},
author = {Tim de Laat},
journal= {arXiv preprint arXiv:1210.3256},
year = {2015}
}
Comments
9 pages, minor changes