New extension of quasi-M-hypnormal operators

Abstract

This study introduces a new class of operators called polynomilally quasi-$ M $-hyponormal, which combining $ M $-hyponormal, quasi-$ M $-hyponormal, and $ k $-quasi-$ M $-hyponormal operators. We will demonstrate several properties of this class that correspond to those of $ k $-quasi-$ M $-hyponormal operators.

Keywords

• m-hyponormal
• quasi-m-hyponormal