Born in 1994 in Makueni county. I started my academic journey in the year 2000 where I graduated from Good Shepherd girls secondary school in 2011.
I was admitted to The University of Nairobi in 2014 for Bachelor of science and graduated in 2018 with with a First class honors. I took Mathematics and Physics courses but graduated with Mathematics major.
In September 2018 I was admitted for Master of science Pure mathematics under The University of Nairobi scholarship. In my second year of study I did my research 'ON ALUTHGE TRANSFORMS AND SPECTRAL PROPERTIES OF DIFFERENT CLASSES OF OPERATORS IN HILBERT SPACES' which I completed in August 2020 .
Project Summary
Project Title: ON ALUTHGE TRANSFORMS AND SPECTRAL PROPERTIES OF DIFFERENT CLASSES OF OPERATORS IN HILBERT SPACES.
Abstract
For any linear operator T acting on a Hilbert space H, its Aluthge transform is another linear operator on H. It is known that Aluthge transform of an operator preserves the spectral properties of that operator and more importantly that an operator T has a non trivial closed invariant subspace if and only if its Aluthge transform has.