We consider the so-called Berezin θ− sequence, where θ is an operator valued inner function, for operators on the vector valued Hardy space H 2 E (D) , and study the invertibility of some operators on the model space K θ = H 2 E θH 2 E via Berezin θ− sequence. By applying of Berezin symbols technique the Toeplitz corona problem in the Bergman space L 2 a (D) is studied. Moreover, C− invertibility and C−unitarity of operators are also defined and studied