Quasi Hyperrigidity and Weak Peak Points for Non-Commutative Operator   Systems
  In this article, we introduce the notions of weak boundary repre- sentation, quasi hyperrigidity and weak peak points in the non-commutative setting for operator systems in C* algebras. An analogue of Saskin theorem relating quasi hyperrigidity and weak Choquet boundary for particular classes of C* algebras is proved. We also show that, if an irreducible representation is a weak boundary representation and weak peak then it is a boundary repre- sentation. Several examples are provided to illustrate these notions. It is also observed that isometries on Hilbert spaces play an important role in the study of certain operator systems. 
M. N. N. Namboodiri, S. Pramod, P. Shankar and A.K. Vijayarajan
math.OA