Browsing Department of Mathematics by Title
Now showing items 26-45 of 69
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Locally oriented noncrossing trees
(2015)We de ne an orientation on the edges of a noncrossing tree induced by the labels: for a noncrossing tree (i.e., the edges do not cross) with vertices 1; 2; : : : ; n arranged on a circle in this order, all edges are ... -
Mathematical Model for Pneumonia Dynamics with Carriers
(2013)There are major advances which have been made to understand the epidemiology of infectious diseases. However, more than 2 million children in the developing countries still die from pneumonia each year. The efforts to ... -
Models for Level Premiums Payable to Benevolent Funds
(Applied Mathematical Sciences, 2020)The application of multiple life actuarial calculations have been stud ied by many authours for instance Elizondo [3] studied the construction of multiple decrement models from associated single decrement expe riences.He ... -
Norm estimates for convexoid operators
(JOOUST, 2015-06-24)Hilbert space operators are important in formulation of principles of quantum mechanics and also in other fields of applied sciences. These operators include normal operators, hyponormal operators, normaloid operators, ... -
Norm of a derivation and hyponormal operators
(Int J Math Anal, 2010)We characterize when the norm of inner derivation on a norm ideal equals that on the quotient algebra. We further investigate norms of inner derivations implemented by normal and hyponormal operators on norm ... -
Norm Properties of S -Universal Operators
(Communications in Advanced Mathematical Sciences, 2020)We investigate the norm properties of a generalized derivation on a norm ideal J in B(H), the algebra of bounded linear operators on a Hilbert space H. Specifically, we extend the concept of S−universality from the inner ... -
Norms of Derivations Implemented by S-Universal Operators
(International Journal of Mathematical Analysis, 2011)Let H be a complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For A, B ∈ B(H), we define inner derivations implemented by A,B respectively on B(H) by ΔA(X) = AX−XA, ΔB(X) = BX−XB and a ... -
Norms of Inner Derivations on Norm ideals
(Int. Journal of Math. Analysis, 2010)Let B(H) be the algebra of bounded linear operators on a Hilbert space H and J be a norm ideal in B(H). We investigate the relationship between the diameter of the numerical range of an operator A ∈ B(H) and the norm ... -
NOTIONS OF CONTINUITY FOR FINITE RANK MAPS IN THE SPACE OF NORMAL OPERATORS
(2020)We show that a natural extension of a continuous finite rank operator to an arbitrary Hilbert space is continuous. We also give sufficient conditions to calculate delta- epsilon numbers in all the domains of T. In addition, we ... -
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 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 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). ...