Bio

Dr.

B.SC MATHEMATICS (1994), M.SC MATHEMATICS (1996), MBA FINANCE (2008), PHD MATHEMATICS (2008)

Publications


2020

Nzimbi, BM, Luketero SW.  2020.  On Unitary Quasi-Equivalence of Operators. International Journal of Mathematics And its Applications. 8(1):207-215. Abstractfull text link

In this paper we investigate unitary quasi-equivalence of operators in Hilbert spaces. We characterize operators that are unitarily quasi-equivalent. We also investigate equivalence relations closely related to unitary quasi-equivalence. We give and prove conditions under which unitary quasi-equivalence coincides with other operator equivalence relations.

Wanyonyi, LS.  2020.  Further remarks on unitary equivalence of some classes of operators in Hilbert spaces. International Journal of Statistics and Applied Mathematics. 5(3):06-10.. Abstractfull text

In this paper we investigate results on unitary equivalence of operators that include n-binormal, skew
binormal and n-power-hyponormal operators acting on complex Hilbert space H.
AMS subject classification 47B47, 47A30, 47B20.

Luketero, SW, Khalagai JM.  2020.  On unitary equivalence of some classes of operators in Hilbertspaces. International Journal of Statistics and Applied Mathematics. 5(2):35-37. Abstractfull text link

It is a well-known result in operator theory that whenever two operators are similar then they have equal spectra even though they do not have to belong to the same class of operators. However under a stronger relation of unitary equivalence it can be shown that two unitarily equivalent operators may belong to the same class of op erators. In this paper we endeavor to exhibit results on such classes of operators which belong to same class under unitary equivalence.

UoN Websites Search