On the Grothendieck Theorem for Jointly Completely Bounded Bilinear Forms

Tim de Laat

Type: Book-Chapter

Publication Date: 2013-01-01

Citations: 0

DOI: https://doi.org/10.1007/978-3-642-39459-1_10

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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.

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Springer proceedings in mathematics & statistics - View
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Citing (20)

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