On the Grothendieck Theorem for Jointly Completely Bounded Bilinear Forms

Tim de Laat

doi:10.1007/978-3-642-39459-1_10

On the Grothendieck Theorem for Jointly Completely Bounded Bilinear Forms

Tim de Laat

Institut for Matematiske Fag

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

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.

Originalsprog	Engelsk
Titel	Operator Algebra and Dynamics : Nordforsk Network Closing Conference, Faroe Islands, May 2012
Redaktører	Toke M. Clausen, Søren Eilers, Gunnar Restorff, Sergei Silvestrov
Forlag	Springer
Publikationsdato	2013
Sider	211-221
ISBN (Trykt)	9783642394584
ISBN (Elektronisk)	9783642394591
DOI	https://doi.org/10.1007/978-3-642-39459-1_10
Status	Udgivet - 2013

Navn	Springer Proceedings in Mathematics & Statistics
Vol/bind	58

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10.1007/978-3-642-39459-1_10

http://link.springer.com/book/10.1007%2F978-3-642-39459-1

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Citationsformater

On the Grothendieck Theorem for Jointly Completely Bounded Bilinear Forms. / de Laat, Tim.
Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012. red. / Toke M. Clausen; Søren Eilers; Gunnar Restorff; Sergei Silvestrov. Springer, 2013. s. 211-221 (Springer Proceedings in Mathematics & Statistics , Bind 58).

Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › peer review

de Laat, T 2013, On the Grothendieck Theorem for Jointly Completely Bounded Bilinear Forms. i TM Clausen, S Eilers, G Restorff & S Silvestrov (red), Operator Algebra and Dynamics: Nordforsk Network Closing Conference, Faroe Islands, May 2012. Springer, Springer Proceedings in Mathematics & Statistics , bind 58, s. 211-221. https://doi.org/10.1007/978-3-642-39459-1_10

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