# DR. IMAGIRI STANLEY KATHURIMA

## BSc, MSc, PhD, (Nairobi) Applied Mathematics

Email: imagiri@uonbi.ac.ke

Email: imagiri@uonbi.ac.ke

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

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.