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Dr. Mutie Kavila

Lecturer, Department of Mathematics & Actuarial Science

Home School of Pure & Applied Sciences Department of Mathematics & Actuarial Science Dr. Mutie Kavila

Dr. Mutie Kavila

Lecturer, Department of Mathematics & Actuarial Science

Academic Qualifications

28th May 2013 – 14th November 2013 Awarded a Certificate of Completion in a Teaching Methodology course by Kenyatta University Centre for Teaching Excellence and Evaluation covering teaching methodology, setting of examinations, administration of Examinations and marking and analysis of scores.
9th August 2004 – 20th August 2004 Certificate of Attendance (2004) University of Nairobi, Kenya Achievement: Acquired additional skills on commutative algebra and algebraic geometry

Refereed Journal Articles

  1. Mwanzia, J.M., Kavila, M., and Khalagai, J.M. , On Fuglede – Putnam Theorems for MoorePenrose Invertible Operators on Hilbert Spaces, African Journal of Pure and Applied Sciences. 4, No. 1 (2023), 42-49. https://journals.ku.ac.ke/index.php/AJPAS/article/view/372/184
  2. Mwanzia, J.M., Kavila, M., and Khalagai, J.M., Moore-Penrose inverse of linear operators in Hilbert space, Afr. J. Math. Comput. Sci. Res. 15, 2 9 (2022), 5-13. https://academicjournals.org/journal/AJMCSR/article-full-text-pdf/8B1D58169921
  3. Mwanzia, J.M., Kavila, M., and Khalagai, J.M., Quasiaffine Inverses of Linear operators in Hilbert spaces, Journ. of Science and Research 10, No. 11 (2021), 1076 – 1082. https://www.ijsr.net/archive/v10i11/SR211116150836.pdf
  4. Kariuki, G.M. and Kavila, M., Conditions implying convexoidity and normaloidity, Journ. of Research and innovation in Applied Science V, Issue no. X (2020), 57-58. https://www.rsisinternational.org/journals/ijrias/DigitalLibrary/Vol.5&Issue10/57-58.pdf
  5. Muthoka, G.N., Kamuti, I and Kavila, M., Derivation of the cycle index formula of the affine square (q) group acting on GF(q), Int. Journ. of Algebra 13, No. 7 (2019), 307-314. http://www.m-hikari.com/ija/ija-2019/ija-5-8-2019/p/muthokaIJA5-8-2019.pdf
  6. Muthoka, G.N., Kamuti, I and Kavila, M., Derivation of the cycle index formula of the affine (p) group as a semidirect product of the cyclic groups Cp and Cp-1 , 6, N0.3 (2019), 63-68. http://ijsrit.com/uploaded_all_files/2611731571_g6.pdf
  7. Nyamusi, D.S. and Kavila, M., Operator equations, Operator inequalities and power bounded operators in Hilbert spaces, Int. Journ. Of Applied Sciences and Math. 4, 6 (2017), 152-155. https://www.ijasm.org/administrator/components/com_jresearch/files/publications/IJASM_193_FINAL.pdf
  8. Olum, F.O., Kamuti, I., Kavila, M. and Ochieng, R.C., Action of the cyclic group Cn acting on the diagonals of a regular n-Gon, Mathematical Theory and Modeling, 6, No.1 (2016), 115-125. https://www.iiste.org/Journals/index.php/MTM/article/view/28241/28984
  9. Khalagai, J.M. and Kavila, M., On spectral properties of -commuting operators in Hilbert spaces, Int. Elec. Journ. of Pure and Applied Math. 6, No. 4 (2013), 283-291. http://www.e.ijpam.eu/contents/articles/201300604007.pdf
  10. Khalagai, J.M. and Kavila, M., On -commuting operators, Kenya Journal of Sciences, Series A, 15, No.1 (2012), 27-31. http://spas.ku.ac.ke/images/stories/docs/on_lambda_commuting_operators.pdf
  11. Khalagai, J.M. and Kavila, M., On commutants and operator equations, Int. Elec. Journ. of Pure and Applied Math. 5, No. 3 (2012), 99-104. http://www.e.ijpam.eu/contents/articles/201200503001.pdf
  12. Khalagai, J.M. and Kavila, M., On Commutants and spectral properties of – commuting operators, Proceedings of the first Kenyatta university international Mathematics Conference, 2011, Kenyatta University Press (KUP), 103-111.
  13. Khalagai, J.M. and Kavila, M., On-commuting operators, Kenya Journal of Sciences, Series A,15, No.1 (2012), 27-31. http://spas.ku.ac.ke/images/stories/docs/on_lambda_commuting_operators.pdf
  14. Khalagai, J.M. and Kavila, M., On commutants and operator equations, Int. Elec. Journ. of Pureand Applied Math. 5, No. 3 (2012), 99-104. http://www.e.ijpam.eu/contents/articles/201200503001.pdf

Conference Papers

  1. First Kenyatta University International Mathematics Conference, 2011, Kenyatta University Conference Centre, Nairobi, Kenya, 8th June – 10th June, 2011. Presented a paper on “OnCommutants and spectral properties of – commuting operators”
  2. First Kenyatta University International Mathematics Conference, 2011, Kenyatta University Conference Centre, Nairobi, Kenya, 8th June – 10th June, 2011. Presented a paper on “ On Commutants and spectral properties of – commuting operators ”.

Awards & Honours

  • Awarded a certificate for participation in the Kiambu County Aquatics Association Masters Swimming Championships held on 9th December, 2023 at Potterhouse School, Runda.

Professional Affiliations

  • Member of Southern Africa Mathematical Sciences Association (SAMSA)
  • Member of the international Congress of Mathematicians (ICM)
  • Member of the Kenya Mathematical Society (KMS)
  • Mentor at the African Academy of Sciences (AAS)