• A CERTAIN INVESTIGATION OF OPERATORS AND FRAME THEORY

Abstract

In this paper, we have to define (P, k) – quasiposi n-perinormal operator on Complex Hilbert space H and  using this definition, we have derive the theorem which satisfies inequality condition. if T is ( P, k )– quasiposi normal operator, We prove,  T is (P, k)– quasiposi n-perinormal operator and we have discussed characterization of  (P, k)– quasiposin-perinormal operator in H. Finally, we proposed the relations between quasi normal operator and frames with shift invariant operator.