Browsing School of Mathematics, Statistics and Actuarial Sciences by Title
Now showing items 67-86 of 113
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On necessary Conditions for scalars
(Hikari Ltd, 2014)In this paper, we give a characterization of scalar operators. In particular we show that a densely defined closed linear operator H acting on a reflexive Banach space X is scalar if it is of (0, 1) type R and f (H)≤ f∞ ... -
On Noncrossing and Plane Tree-Like Structures
(Communications in Advanced Mathematical Sciences, 2021)Mathematical trees are connected graphs without cycles, loops and multiple edges. Various trees such as Cayley trees, plane trees, binary trees, d-ary trees, noncrossing trees among others have been studied extensively. ... -
On Numerical and Centre Values Range
(Int. Journal of Math, 2010)This paper follows [1] in the quantitative study of Numerical Ranges introduced by Stampfli [9]. In particular, we consider a family of mutually orthogonal projections and investigate how a numerical range can be related ... -
On Numerical Range of Multiplication Operator
(International Journal of Mathematical Analysis, 2019)Let H be an in nite dimensional complex Hilbert space and A;B 2 B(H) where B(H) is the C -algebra of all bounded linear operators on H. Let MAB : B(H) ! B(H) be a multiplication operator induced by A and B de- ned ... -
On Regular Prime Graphs of Solvable Groups
(Hikari Ltd, 2016)Let G be a finite solvable group and∆(G) be the prime vertex graph on cd (G). We show that if∆(G) is noncomplete and regular, then G is the direct product of groups with disconnected graphs of 2 vertices. -
On some properties of generalized Fibonacci polynomials
(Open Journal of Discrete Applied Mathematics, 2020)Fibonacci polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions and by varying the recurrence relation and maintaining the initial conditions. In ... -
On the convexity of Stampfli's numerical range
(Cambridge University Press, 1996-02)This paper investigates a certain type of numerical range introduced by Stampfli. In particular, we investigate the convexity of this set of elements of operators on Hilbert spaces and its relationship to the algebra ... -
On the Generalized Reid Inequality and the Numerical Radii
(Applied Mathematical Sciences, 2011)In this paper, we extend the generalized Reid inequality to include the numerical radii for the product of two Hilbert space operators. Mathematics Subject Classification: 47A12, 47A30, 47A63 -
On the maximal numerical range of elementary operators
(Academic Publications, Ltd., 2017-02)The notion of the numerical range has been generalized in different directions. One such direction, is the maximal numerical range introduced by Stampfli (1970) to derive an identity for the norm of a derivation on L(H). ... -
On the Norm of a Generalized Derivation
(HIKARI Ltd, 2019)Let H be an infinite dimensional complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For two bounded operators A, B ∈ B(H), the map δAB : B(H) → B(H) is a generalized inner derivation operator ... -
On the norm of elementary operator
(Scientific Research Publishing, 2014-07-07)The norm of an elementary operator has been studied by many mathematicians. Varied results have been established especially on the lower bound of this norm. Here, we attempt the same problem for finite dimensional operators. -
On the Numerical Range of a Generalized Derivation
(HIKARI Ltd,, 2017)We examine the relationship between the numerical range of the restriction of a generalized derivation to a norm ideal J and that of its implementing elements. Mathematics Subject Classi cation: 47A12; 47B47 -
On the Numerical Solution of Boundary Value Problem (BVP) of the Ordinary Differential Equation (ODE) - The Case of Steady-State Bio-Heat Equation with Combined Heat Transfer Coefficient by Pseudo-Spectral Collocation Method
(European Journal of Engineering and Technology Research, 2023-09-15)Spectral methods for the solution of a boundary value problem of an ordinary differential equation are reviewed with particular emphasis laid on pseudo-spectral collocation method. The pseudo-collocation method is then ... -
On the Theory of Random Search
(University of Nairobi,, 1994)The problem of identifying one or more unknown elements belonging to a finite set So' containing n distinguishable elements is well known in literature. Designs used in this kind of investigation are known as search designs. ... -
On the Zero Divisor Graphs of Finite Rings in Which the Product of Any Two Zero Divisors Lies in the Coefficient Subring
(Journal of Mathematics and Statistical Science, 2016)Let r be a positive integer and 2 ≤ ∈k . Let ( ) kr k GR p p, be a Galois ring of order kr p and characteristic k p . Consider, ( ) kr k R GR p p U = ,⊕ where U is a finitely generated ( ) kr k GR p p, module. If Z R( ... -
OPEN EDUCATIONAL RESOURCES FOR STATISTICS TEACHING
(ISI/IASE, 2017)A series of papers at this conference have built on the African Data Initiative (ADI) which was started to improve statistical literacy and understanding. One immediate deliverables of this initiative has been new ... -
Operators with slowly growing resolvents towards the spectrum
(International Journal of Pure and Applied Mathematics, 2009-03)A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies -
Option Pricing of an Asset with Seasonal and Periodic Supply
(International Journal of Multidisciplinary Sciences and Engineering, 2014-12-12)In option pricing the rate of change of asset price with time can be viewed to be directly proportional to the Walrasian [6] excess demand. Scholars such as Jacques [3] and Onyango [4], have used the excess demand concept ... -
Option Pricing of an Asset with Seasonal and Periodic Supply
(International Journal of Multidisciplinary Sciences and Engineering, 2014)In option pricing the rate of change of asset price with time can be viewed to be directly proportional to the Walrasian [6] excess demand. Scholars such as Jacques [3] and Onyango [4], have used the excess demand concept ... -
Orthogonality of elementary operators in normed spaces and their applications
(SAMSA 2012 mathematics conference proceedings, 2012-11)Malaria is a major public health concern, especially among pregnant women and children under the age of five. It is a leading cause of morbidity and mortality in Malawi, accounting for fourty percent of out-patient ...