On $n$-normal operators (Research on structure of operators using operator means and related topics)

Abstract

Let T be a bounded linear operator on a complex Hilbert space. T is said to be n-normal if T^{*}T^{n}=T^{n}T^{*}, where T^{*} is the dual operator of T. First we explain the study of nnormal of operators given by S.A. Alzuraiqi and A.B. Patel. Next we show our results of n-normal operators.