  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.
