School Of Mathematicshttp://erepository.uonbi.ac.ke/handle/11295/143182024-03-29T08:07:40Z2024-03-29T08:07:40ZOn Decomposition of Operators in Hilbert SpacesMwangi, Williamhttp://erepository.uonbi.ac.ke/handle/11295/1616012022-11-02T07:45:12Z2022-01-01T00:00:00ZOn 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).
2022-01-01T00:00:00ZEpidemic Potential for Malaria in Epidemiological Zones in KenyaOgola, Wanderahttp://erepository.uonbi.ac.ke/handle/11295/655852016-11-29T18:32:36Z2012-01-01T00:00:00ZEpidemic 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
2012-01-01T00:00:00ZEastern Africa Universities Mathematics program (EAUMP-Network Origin, Operation, Achievements the Future and Challenges.Mango, JMAbrahamson, LAlphonce, CBMasanja, VOdhiambo, JWOgana, WNabugoomu, Fhttp://erepository.uonbi.ac.ke/handle/11295/655642016-11-29T18:28:53Z2012-01-01T00:00:00ZEastern 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
2012-01-01T00:00:00ZEstimation of Fertility Levels and Differentials in Kenya: An Application of Coala-Trussell and Gompertz Re¬ lational ModelsOttieno, J. A. MOsiemo, A. OOcholla-Ayayo, A. B. Chttp://erepository.uonbi.ac.ke/handle/11295/612682015-11-20T14:07:18Z2000-01-01T00:00:00ZEstimation 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
2000-01-01T00:00:00Z