Reading group: Operator spaces

Wintersemester 2015/16

Prof. Dr. Robert König and Dr. Milan Mosonyi

Objective

The goal of this reading group is to familiarize ourselves with the theory of operator spaces. We will closely follow Paulsen's book initially. Some recent applications to quantum information science will be discussed subsequently.

Literature

• Ron C. Blei: An elementary proof of the Grothendieck inequality , Proc. Amer. Math. Soc. 100 (1987), 58-60
• Edward Effros, Zhong-Jin Ruan: Operator spaces, Oxford Science Publications, 2000
• Vern Paulsen: Completely Bounded Maps and Operator Algebras, Cambridge Studies in Advanced Mathematics, 2003
• Carlos M. Ortiz, Vern I. Paulsen: Lovász theta type norms and Operator Systems 
• Runyao Duan, Simone Severini, Andreas Winter: Zero-error communication via quantum channels, non-commutative graphs and a quantum Lovasz theta function 
• Carlos Palazuelos, Thomas Vidick: Survey on Nonlocal Games and Operator Space Theory 
• Gilles Pisier: Introduction to Operator Space Theory, Cambridge University Press, 2003