Browsing Faculty of Science & Technology (FST) by Title
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On fredholm and weyl operators in hilbert spaces
(School of mathematics, 201108)This project deals with Fredholm, Weyl and Browder operators in Hilbert spaces. Chapter one is t be int.rorl uct.iou part whore not at ions and detin it ions are gIven. Chapter two tackles Fredholm operators by form ... 
On invariance of the numerical range and some classes of operators in Hilbert spaces
(School of Mathematics, University of Nairobi, 2013)In this thesis the invariance of the numerical range under isometric similarity is examined. It is a well known fact that unitarily similar operators have the same numerical range. Chapter one is devoted to basic ... 
On irreducible representations of Sn
(School of mathematics,University of Nairobi, 200906)As mentioned in [8], A group representation can be thought of as an action oi a group G on some vector space. Such actions arise naturally in many branches oi mathematics and physics and as such it is important to study ... 
On Lattices of Some Special Subspaces of Some Operators in Hilbert Spaces
(University of Nairobi, 2021)In this project, we investigate lattices of subspaces (like invariant, reducing and hyperinvariant subspaces among others) of some operators in Hilbert spaces and also give a detailed information on equivalence of operators ... 
On Numerical Ranges of Some Operators in Hilbert Spaces
(University of Nairobi, 2017)In this project, we investigate the numerical ranges of some basic operators. We develop the study of the Numerical ranges of these operators from the study of the resolvent sets, the spectrum(the classical classification ... 
On probability of ruin in retirement based on contribution rates in a pension scheme
(School of Mathematics, University of Nairobi, 2009)The main objective of this dissertation was to show that contribution rates can be used to minimize the probability of financial ruin in retirement within a pension scheme within the Kenyan pension industry and help ... 
On quasiaffinity, equivalence and intersection of some classes of operators in hilbert spaces
(School of Mathematics, University of Nairobi, 2001)In this thesis, chapter one is on introduction, notations and terminology that will be used in the chapters to follow. Also shown is a counter example of a quasiaffinity operator which is not invertible 
On quasisimilarity, almost similarity and metric equivalence of some operators in hilbert spaces
(School of mathematics, 201208)In the first chapter we give a brief introduction on some of the developments of the equivalence relations came about. We also define some of the notations and terminologies that will be used in this work. The second ... 
On Reducibility And Quasireducibility Of Operators In Hilbert Spaces
(University of Nairobi, 2015)In this dissertation, we study invariant, reducing and hyp erinvariant subspaces and how they play a key role in the study of reducibility and quasireducibility of op erators. We also consider some equivalence relations and ... 
On Ricci Solitons as Quasieinstein Metrics
(university of nairobi, 2019)This thesis is the key to good understanding of di erential geometry with para Kenmotsu and Lorentzian Para Sasakian structure and it is organized as follows. In chapter one, the preliminaries and de nitions are ... 
On some aspects of spectral theory of Operarors in Hilbert spaces
(University of Nairobi, 2017) 
On Some Classes Of Operators On Hilbert Space
(University of NairobiSchool of mathematics, 1982)In this project, H will d8note a Hilbert space with inner projuct denoted by < ,7 and T, A, B, X etc. will denote operators (i.e. bounded, linear trans formations) on a Hilbert space H into itself or into another ... 
On some properties of solvability of polynomials by radicals
(School of mathematics, 201108)The first section provides a brief history of advancements in solvability by radicals. In chapter 1, we begin by introducing a few elementary concepts ill field theory and the key items needed in solvability by radicals. ... 
On some transforms of linear operators in a hilbert space
(University of Nairobi, Kenya, 2012)Let B (H) be algebra of all bounded linear operator in a complex separable Hilbert space. For an operator T E B (H). let II en = I T I ''u I T I ''. r en = I T I u, C (T) = (T _ iI) (T+ iI)! be the Aluthge transform, ... 
On Stock Market Dynamics and Options Pricing Based on Garch and Regime Switching Models
(University of Nairobi, 2022)The understanding of the linkage between stock returns, volatility and trading volume is paramount since it provides insights into the financial markets’ microstructure. The available literature reveals insufficient ... 
On the application of credibility theory and GLMS
(University of NairobiSchool of Mathematics, 2013)Premiums are payable to an insurance company for a cover against a certain risk. Credibility models are actuarial tools to distribute premiums fairly among a heterogeneous group of policyholders. The problem is usually ... 
On The CaptureRecapture Methods Of Estimating Population Size
(University of NairobiSchool of mathematics,, 1991)This dissertation 1S an attempt capturerecapture models estimation of to study the closed population size. Where possible, the assumptions underlying various models have been discussed ... 
On the classification of semisimple Lie algebras
(School of Mathematics, University of Nairobi, 2010)Lie algebra over a field F (F= [; lis a vector space Lover F equipped with a skew symmetric bilinear operation called the Lie bracket, which satisfied the Jacobi identity. Lie algebras, have Jordan decomposition into ... 
On The Construction Of Deletion Designs
(University of NairobiSchool of mathematics,, 1992)In many exper iment.al si t.uat.ions t.he response var La b.Le may depend on t.he irif'1uence of sever al factors. These fact.ors may be applied at. t.wo or more levels,thus giving rise t.o ...