Browsing by Title
Now showing items 3848-3867 of 5621
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On atomic state purity operator, degree of state purity and concurrence in the JC and anti-JC models
(Maseno University, 2020)The state of an atom in a bipartite qubit, Jaynes-Cummings (JC) or anti-Jaynes-Cummings (aJC) interaction is described by a reduced density operator. The purity of the state has been measured by taking the trace of the ... -
On Characterization of Scalar Operators via Semigroup and the Associated Generators
(Hikari Ltd, 2016)In this paper, we characterize the scalar operators by using the semigroup theory and the corresponding generators of (α, α + 1) type R operators. In particular, we show that if a densely defined operator H generates a ... -
On completely bounded Operators
(2010)Calculating norms of matrices when the entries are not constants is the first problem tackled in this thesis. We have considered the space of matrices with entries from the algebra of bounded linear operators and ... -
On completely positive maps
(Maseno University, 2015)Completely positive maps is an important field due to its significance, application and mathematics itself. While discussing the properties of the positive maps, researchers have questioned whether the properties of the ... -
On Generalized Fibonacci Numbers
(Communications in Advanced Mathematical Sciences, 2020)Fibonacci numbers and their 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 ... -
On Joint Essential Numerical Ranges
(Maseno University, 2013)The concept of numerical range on a Hilbert space was first introduced by O. Toeplitz in 1918 for matrices. This notion was independently ex tended by G. Lumer and F. Bauer in the sixties on finite dimensional Banach ... -
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 norms of a derivation
(Maseno university, 2010)The study of derivations still remains an area of interest to mathematicians today. Of special attention has been the study of norms of inner derivations. Most of the work in this area is based on Stampfli's result of ... -
On norms of elementary operators
(2009)The study of elementary operators has been of great interest to many mathematicians for the past two decades. Of special interest has been to determine the norms of these operators. The norm problem for elementary operators ... -
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 Schwarz norms
(Maseno University, 2015)Abstract Investigation of the properties of the numerical radius by Berger and Stampfli showed that indeed numerical radius norm is a Schwarz norm. Later on James P.Williams determined a family of distinct Schwarz norms ... -
On shifted Fibonacci sequences and Their polynomials
(Maseno University, 2020)Fibonacci sequences and their 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 ... -
ON SINGULAR CAUCHY PROBLEM OF EULER-POISSON DARBOUX EQUATION
(2012)We solve the singular Cauchy problem of Euler-Poisson-Darboux equation. The Riemann function, a solution corresponding to the adjoint equation is calculated and it enables us to evaluate any solution at a point by the ... -
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 Algebraic Numerical Range of the Basic Elementary Operator and Norm of a Generalized Derivation
(Maseno University, 2020)An elementary operator is a bounded linear map defined on the set of bounded linear operators acting on an infinite dimensional complex Hilbert space H. Various forms of elementary operators have been studied in the past ... -
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 design and functionality of a solar chimney, Solar pressure-staged wind tunnel electric power Generating plant and an integrating sphere Calorimeter. I . I \
(Maseno University, 2009)The design and application of solar chimney and solar pressure-staged wind tunnel electric power generating plants involve the understanding of parameters which affect their operations and utilization. The size and ...
