A new study on m-quasi-totally-(α,β)-normal operators in relation to polynomials

Abstract

Creating new operators that act as a superclass to existing ones and studying their spectral and geometrical properties is an interesting area in linear operator theory. From that perspective, the study introduces a new class of operators called polynomially m-quasi-totally-(α,β)-normal. This new class integrates features from (α,β)-normal, quasi-(α,β)-normal and m-quasi-totally-(α,β)-normal operators. This article analyzes several properties of polynomially m-quasi-totally-(α,β)-normal operators.