paper

On the Grothendieck Theorem for jointly completely bounded bilinear forms

arXiv:1210.3256 · doi:10.1007/978-3-642-39459-1_10

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.

9 pages, minor changes

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