Year: 2024
Type: article
Abstract: It is a well known result that 1-power normal operator is equivalent to normal operators. This paper will discuss some results on n-power normal operators on the Hilbert space. It is shown that if T is a diagonal matrix, then T is n-power normal for any integer n>2. We show that the product of two commuting 2- power normal operators is 2-power normal if each operator commutes with the adjoint of the other operator.
Institution: University of Nairobi
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402442222