On The extension Bi-Normality of Linear Operators
Bi-normality set
Unitary operator
Quasi-similar operator
Similar operator
Aluthge transformation
In this paper, we introduce the bi-normality set, denoted by , which is an extension of the normality set, denoted by for any operators in the Banach algebra . Furthermore, we show some interesting properties and remarkable results. Finally, we prove that it is not invariant via some transpose linear operators.
