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.

2019

Floridah Igoki Mbogori, Luketero S.  2019.  FACTORS INFLUENCING SUSTAINABILITY OF WOMEN OWNED SMALL AND MEDIUM ENTERPRISES: A CASE OF NKUBU TOWN, IMENTI SOUTH SUBCOUNTY, MERU COUNTY, KENYA. International Academic Journal of Information Sciences and Project Management. 3(4):355-376. AbstractWebsite

Women owned SMEs have continued to collapse despite the growing number of initiatives and resources made available to promote and develop women’s entrepreneurship in developing countries. Women are still earning less money in their businesses that have a slow growth, are more likely to fail and tend to be more necessity entrepreneurs. In Nkubu town Imenti South Sub-County, sustainability of women owned small and medium enterprises (SMEs) is facing a lot of challenges. The purpose of this study was to establish the factors influencing sustainability of women owned SMEs in Nkubu town Imenti South Sub-County, Meru County. The study was guided by the following objectives; to establish the influence of entrepreneurial training, networking opportunities, source of funding and technological know-how on sustainability of women owned SMEs in Nkubu town Imenti South Sub-County, Meru County. The findings of this study would be of great importance to the women who are involved in SMEs in Meru county and entire parts of the country. The findings of this study would be used by government and policy makers to get the insight of real factors influencing sustainability of women owned SMEs on issues of management as compared to their counterparts. This study was anchored on pecking order theory, credit rationing theory and household economic portfolio model. The study adopted a descriptive research design. The target population for this study was 286 owners of SMEs comprising of food vendors, clothing vendors, beverages vendors, services vendors and curio vendors Stratified random sampling technique was used in this …

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