• A CERTAIN INVESTIGATION OF OPERATORS AND FRAME THEORY

K. RAJUPILLAI*, S. PALANIAMMAL

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.


Keywords


Hilbert Space, (p, k) –quasiposiperinormal operator, invertible operator, Frames, orthonormal basis.

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