ON THE NORMALITY OF THE PRODUCTS OF n‑POWER QUASINORMAL OPERATORS
Given any two normal operators A and B on a Hilbert space H, it is known that AB is not normal in general. However, if A and B commute, then AB is also normal. In this account, we investigate some conditions under which AB becomes normal even when A and B are not necessarily normal.
normal, quasinormal, n-power normal, n-power quasinormal.