# PROF. NZIMBI BERNARD MUTUKU

## BSc, MSc, PhD, (Nairobi) Pure Mathematics

Physical Address: Room 114, Chiromo Campus, Riverside Drive +254 715 925 762 Email: nzimbi@uonbi.ac.ke

Physical Address: Room 114, Chiromo Campus, Riverside Drive +254 715 925 762 Email: nzimbi@uonbi.ac.ke

Pure Mathematics - Mathematical Analysis (Operator Theory)

Application of Operator Theory in Telecommunications (signal processing) , image processing and systems control

Linear operators for which T* and T^2 commute. Global Journal of Pure and Applied Mathematics(GJPAM),2012, to appear. : Global Journal of Pure and Applied Mathematics(GJPAM), 2012, to appear Abstract

Submitted. Remarks on the Murray-von Neumann equivalence of projections. International Journal of Pure and Applied Mathematics(IJPMAS)-accepted June 6, 2016.

In Press. On almost-similarity and metric equivalence of operators. Pioneer Journal of Mathematics and Mathematical Sciences(PJMMS)-accepted June 14, 2016.

In Press. W_4-Curvature tensor on a A-Einstein Sasakian manifold. Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS). : Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS) Abstract

In Press. A study of eta-Ricci soliton on W_5-semi symmetric LP sasakian manifolfds. International Journal of Statistics and Applied Mathematics 2. 5(5):25-29. AbstractWebsite

2020. Weyl and Browder theorems for operators with or without SVEP at zero. International Journal of Statistics and Applied Mathematics. 5(3):11-24. AbstractWebsite

2020. On unitary quasi-equivalence of operators. International Journal of Mathematics and Its Applications. 8(1):207-215. AbstractWebsite

2020. On Pseudo-inverses and Duality of Frames in Hilbert Spaces. International Journal of Mathematics and its Applications (IJMAA). 7(2):75-88. AbstractWebsite

2019. A note on analysis and synthesis operators of a frame and reconstruction of a signal from frame coefficients. International Journal of Statistics and Applied Mathematics. 4(5):93-99. AbstractWebsite

2019. A note on isomorphy and unitary isomorphy of Hilbert space frames. International Journal of Mathematics Trends and Technology(IJMTT). 65(1):15-30.

2019. On finite dimensional Hilbert space frames, dual and normalized frames and pseudo-inverse of the frame operator. Advance Research in Mathematics and Statistics. 5(11):1-14.

2018. On analysis and synthesis operators and characterization of the synthesis matrix of a frame in terms of the frame operator. Advance Research in Mathematics and Statistics. 5(12):1-10.

2018. A note on some equivalences of operators and topology of invariant subspaces. Mathematics and Computer Science . 3(5):102-112.

2018. Subdegrees and suborbital graphs of symmetric groups Sn (n=3,4,5) acting on unordered pairs. Global Educational Research Journal. 3(7):333-345.

2015. A note on quasi-similarity of operators in Hilbert spaces. International Journal of Mathematical Archives. 6(7):49-54.

2015. Distribution of spectrum in a direct sum decomposition of operators into normal and completely non-normal operators. International Journal of Modern Mathematical Sciences. 11(3):118-124.

2014. W_2-Recurrent LP-Sasakian manifold. Universal Journal of Mathematics and Mathematical Sciences(UJMMS). 3(2):119-128.

2013. w_4-curvature tensor on A-Einstein Sasakian manifold. Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS).

2013. A note on A-self-adjoint and A-skew-adjoint operators and their extensions. Pioneer Journal of Mathematics and Mathematical Sciences(PJMMS). 7(1):1-36.

2013. A note on A-self-adjoint and A-skew-adjoint operators and their extensions. Pioneer Journal of Mathematics and Mathematical Sciences(PJMMS). 7(1):1-36.

2013. A note on metric equivalence of some operators. Far East Journal of Mathematical Sciences(FJMS). 75(2):301-318.

2013. On almost similarity operator equivalence relation. IJRRAS. 15(3):293-299.

2013. On characterization of class R_1 of non-normal operators in a Hilbert space. Pioneer Journal of Mathematics and Mathematical Sciences(PJMMS). 5(1):137-142.

2012. On similarity and quasisimilarity equivalence relations. Bull. Soc. Math. Serv. and Standards. 1(2):151-171.

2012. Linear Algebra II-ODL Programme. , Nairobi: University of Nairobi

2011. Study of W_4-curvature tensor on Sasakian manifold. Kenya Journal of Sciences. 14(1):1-8.

2010. Stephen Moindi Kibet, G.P. Pokhariyal and B.M. Nzimbi, Study of W_4 Curvature tensor on Sasakian Manifold, Kenya J. Sciences(KJS), Vol. 14, No.1 2010, 1-8. Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS). : Kenya Journal of Sciences(KJS), Abstract

2010. A note on similarity, almost-similarity and equivalence of operators. Far East Journal of Mathematical Sciences(FJMS). 28(2):305-317.

2008. A note on Similarity, Almost-Similarity and Equivalence of Operators. Far East Mathematics Journal. 28(2(February 2008)):305-317.: Kenya Journal of Sciences(KJS), AbstractWebsite

2008. On Decomposition of Operators in Hilbert Spaces. Far East Mathematics Journal, Vol 28, Issue 2(February 2008), 305-317.. , Nairobi: University of Nairobi Abstract

1999.