DR. IMAGIRI STANLEY KATHURIMA

Citation:

Kathurima I. "An Interplay Between n-Power quasinormal and w-Hyponormal operators,." Far East Jnr of Appld. Maths.. 2014;88.

Abstract:

In this monograph, via Aluthge transformations, it is proved that every n-Power normal operator
is normaloid and through paranormality, w-hyponormal operators are shown to be indepedent
from n-Power normal, hence from n-Power quasinormal operators. Nevertheless, an attempt to
throw more materials- rather than the class of normal operators-, in the intersection of these
non-normal classes is presented.

In this monograph, via Aluthge transformations, it is proved that every n-Power normal operator
is normaloid and through paranormality, w-hyponormal operators are shown to be indepedent
from n-Power normal, hence from n-Power quasinormal operators. Nevertheless, an attempt to
throw more materials- rather than the class of normal operators-, in the intersection of these
non-normal classes is presented.