# PROF. NZIMBI BERNARD MUTUKU

## Bsc.(UoN-1990), MSc. (UoN-1999), MSc.(Syracuse-2004), PhD(UoN-2009)

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

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

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

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

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

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

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

"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*. 2018;5(12):1-10.

"On finite dimensional Hilbert space frames, dual and normalized frames and pseudo-inverse of the frame operator." *Advance Research in Mathematics and Statistics*. 2018;5(11):1-14.

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

"Subdegrees and suborbital graphs of symmetric groups Sn (n=3,4,5) acting on unordered pairs." *Global Educational Research Journal*. 2015;3(7):333-345.

"Distribution of spectrum in a direct sum decomposition of operators into normal and completely non-normal operators." *International Journal of Modern Mathematical Sciences*. 2014;11(3):118-124.

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

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

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

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W_2-Recurrent LP-Sasakian manifold." *Universal Journal of Mathematics and Mathematical Sciences(UJMMS)*. 2013;3(2):119-128.

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

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On characterization of class R_1 of non-normal operators in a Hilbert space." *Pioneer Journal of Mathematics and Mathematical Sciences(PJMMS)*. 2012;5(1):137-142.

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

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

"A note on similarity, almost-similarity and equivalence of operators." *Far East Journal of Mathematical Sciences(FJMS)*. 2008;28(2):305-317.

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