On (P*-N) quasi normal operators Of order "n" In Hilbert space

Abstract

Through this paper, we submitted some types of quasi normal operator is called be (k*-N)- quasi normal operator of order n defined on a Hilbert space H, this concept is generalized of some kinds of quasi normal operator appear recently form most researchers in the field of functional analysis, with some properties and characterization of this operator as well as, some basic operation such as addition and multiplication of these operators had been given, finally the relationships of this operator proved with some examples to illustrate conversely and introduce the sufficient conditions to satisfied this case with other types had been studied.

Keywords

• operator, quasinormal,(k-n)-quasinormal operator, quasi normal operator of order (n).