Publications

Found 25 results

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

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In Press
Nzimbi BM, Luketero SW, Sitati IN, Musundi SW, Mwenda E. "On almost-similarity and metric equivalence of operators." Pioneer Journal of Mathematics and Mathematical Sciences(PJMMS)-accepted June 14, 2016. In Press.
Nzimbi BM, Kiratu BN, Sitati IN, Kipkemoi ST. "Remarks on the Murray-von Neumann equivalence of projections." International Journal of Pure and Applied Mathematics(IJPMAS)-accepted June 6, 2016. In Press.
MUTUKU DRNZIMBIBERNARD, KIBET DRMOINDISTEPHEN, P PROFPOKHARIYALGANESH. "W_4-Curvature tensor on a A-Einstein Sasakian manifold." Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS). In Press. Abstract

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2015
Sitati IN, Musundi SW, Nzimbi BM, Kikete DW. "A note on quasi-similarity of operators in Hilbert spaces." International Journal of Mathematical Archives. 2015;6(7):49-54.
Njagi L, Nzimbi BM, Mwenda E. "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.
2014
Mwenda E, Musundi SW, Nzimbi BM, Marani VN, Njagi L. "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.
2013
Nzimbi BM, Pokhariyal GP, Moindi SK. "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.
Nzimbi BM, Pokhariyal GP, Moindi SK. "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.
Nzimbi BM, Pokhariyal GP, Moindi SK. "A note on metric equivalence of some operators." Far East Journal of Mathematical Sciences(FJMS). 2013;75(2):301-318.
Musundi SW, Sitati IN, Nzimbi BM, Murwayi AL. "On almost similarity operator equivalence relation." IJRRAS. 2013;15(3):293-299.
Moindi SK, Pokhariyal GP, Nzimbi BM. "W_2-Recurrent LP-Sasakian manifold." Universal Journal of Mathematics and Mathematical Sciences(UJMMS). 2013;3(2):119-128.
Moindi SK, Pokhariyal GP, Nzimbi BM. "w_4-curvature tensor on A-Einstein Sasakian manifold." Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS). 2013.
2012
Nzimbi BM, Pokhariyal GP, Moindi SK. "A note on a-self -adjoint and a-skew -adjoint operators and their extensions.". 2012. AbstractA note on a-self -adjoint and a-skew -adjoint operators and their extensions

In this paper we introduce the notions of an A-self-adjoint, an A-skewadjoint linear operator, where A is a self-adjoint and invertible operator and related classes of operators, which generalize some known classes of operators. We investigate some properties of these operators and show that these operators share some properties with some known classes of operators. We prove some results on some equivalence of these operators and investigate conditions under which these operators are self-adjoint, unitary, skew-adjoint, normal, hyponormal, quasinormal or binormal. We also attempt to locate the spectra of such operators

Mille JK, Nzimbi BM, Moindi SK. "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.
Sitati IN, Musundi SW, Nzimbi BM, Kirimi J. "On similarity and quasisimilarity equivalence relations." Bull. Soc. Math. Serv. and Standards. 2012;1(2):151-171.
2011
Nzimbi BM. Linear Algebra II-ODL Programme. Nairobi: University of Nairobi; 2011.
2010
Moindi SK, Pokhariyal GP, Nzimbi BM. "Study of W_4-curvature tensor on Sasakian manifold." Kenya Journal of Sciences. 2010;14(1):1-8.
MUTUKU DRNZIMBIBERNARD, KIBET DRMOINDISTEPHEN, P PROFPOKHARIYALGANESH. "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.". In: Global Journal of Theoretical and Applied Mathematical Sciences(GJTAMS). Kenya Journal of Sciences(KJS),; 2010. Abstract
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2008
MUTUKU DRNZIMBIBERNARD, P PROFPOKHARIYALGANESH, M PROFKHALAGAIJAIRUS. "A note on Similarity, Almost-Similarity and Equivalence of Operators." Far East Mathematics Journal. 2008;28(2(February 2008)):305-317. AbstractWebsite

The almost-similar and similar relations between operators on finite-dimensional Hilbert spaces are investigated. It is shown that almost-similar operators share some properties with some other classes of operators. Various results on almost-similarity and similarity are proved. An attempt is made to classify those operators where almost-similarity implies similarity. We investigate some properties of corresponding parts of operators which enjoy these equivalence relations.

Nzimbi BM, Pokhariyal GP, Khalagai JM. "A note on similarity, almost-similarity and equivalence of operators." Far East Journal of Mathematical Sciences(FJMS). 2008;28(2):305-317.
1999
MUTUKU DRNZIMBIBERNARD. On Decomposition of Operators in Hilbert Spaces. Nairobi: University of Nairobi; 1999. Abstract

The almost-similar and similar relations between operators on finite-dimensional Hilbert spaces are investigated. It is shown that almost-similar operators share some properties with some other classes of operators. Various results on almost-similarity and similarity are proved. An attempt is made to classify those operators where almost-similarity implies similarity. We investigate some properties of corresponding parts of operators which enjoy these equivalence relations.

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