http://erepository.uonbi.ac.ke/handle/11295/14318 Mon, 18 May 2026 20:36:08 GMT 2026-05-18T20:36:08Z http://erepository.uonbi.ac.ke/handle/11295/161601 On Decomposition of Operators in Hilbert Spaces Mwangi, William In this project, we investigate the direct sum decomposition of some classes of operators in Hilbert spaces with the aim of de ning properties of the direct summands of these operators. We show that an arbitrary operator T decomposes into a normal and a completely nonnormal parts. The properties for which an operator T has nontrivial normal and direct summands are given. In addition, we study this decomposition of operators in some equivalence classes (similar, unitarily equivalent, quasisimilar and almost-similar) of operators. We also investigate the properties of the direct decomposition of a contraction into a unitary and a completely nonunitary parts. We show that an arbitrary operator T decomposes this way upon dividing the operator by its norm (re-normalization). Sat, 01 Jan 2022 00:00:00 GMT http://erepository.uonbi.ac.ke/handle/11295/161601 2022-01-01T00:00:00Z http://erepository.uonbi.ac.ke/handle/11295/65585 Epidemic Potential for Malaria in Epidemiological Zones in Kenya Ogola, Wandera Malaria is a vector-borne disease which annually results in over one million deaths and five hundred million clinical episodes, most of which occur in sub-Sahara Africa. Since the disease is influenced by climate factors, it is important to assess the possible risk posed by climate change on malaria transmission. A number of indices can be used to assess this risk but the most appropriate appears to be the epidemic potential, which is derived from the basic reproduction number, R0. We determine the epidemic potential for selected areas within the four epidemiological zones in Kenya, using modeled temperature and rainfall data. For the years 2009 to 2011, for which detailed malaria data is available, we compare the variation in epidemic potential with malaria incidence. Results show that the variation in epidemic potential, from month to month, reflects a pattern similar to the variation in malaria incidence It is an abstract Sun, 01 Jan 2012 00:00:00 GMT http://erepository.uonbi.ac.ke/handle/11295/65585 2012-01-01T00:00:00Z http://erepository.uonbi.ac.ke/handle/11295/65564 Eastern Africa Universities Mathematics program (EAUMP-Network Origin, Operation, Achievements the Future and Challenges. Mango, JM; Abrahamson, L; Alphonce, CB; Masanja, V; Odhiambo, JW; Ogana, W; Nabugoomu, F Sun, 01 Jan 2012 00:00:00 GMT http://erepository.uonbi.ac.ke/handle/11295/65564 2012-01-01T00:00:00Z http://erepository.uonbi.ac.ke/handle/11295/61268 Estimation of Fertility Levels and Differentials in Kenya: An Application of Coala-Trussell and Gompertz Re¬ lational Models Ottieno, J. A. M; Osiemo, A. O; Ocholla-Ayayo, A. B. C Sat, 01 Jan 2000 00:00:00 GMT http://erepository.uonbi.ac.ke/handle/11295/61268 2000-01-01T00:00:00Z