$\alpha$-Supraposinormality of Operators in Dense Norm-Attainable Classes

Abstract

The notion of supraposinormality was introduced by Rhaly in a superclass of posinormal operators. In this paper, we give an extension of this notion of supraposinormality to $\alpha$-supraposinormality of operators in the dense norm-attainable class.

Keywords

• posinormal operator
• hyponormal operator
• norm-attainable class
• $\alpha$-supraposinormality