Department of Mathematics: Recent submissions

Now showing items 61-73 of 73

    • Parameter Driven Dynamics of Trypanosomiasis in a Cattle Population 

      J Otieno, JYT Mugisha, BK Nannyonga, P Oleche (HIKARI Ltd, 2014)
      In this paper we study the disease dynamics of trypanosomiasis in a cattle population. The compartmental model presented includes the wild animal population which provides an alternative feeding source for the tsetse ...

    • A Probabilistic Estimation of the Basic Reproduction Number: A Case of Control Strategy of Pneumonia 

      Ong’ala Jacob Otieno, Mugisha Joseph,Oleche Paul, (cience Publishing Group, 2014)
      Deterministic models have been used in the past to understand the epidemiology of infectious diseases, most importantly to estimate the basic reproduction number, Ro by using disease parameters. However, the approach ...

    • Norm estimates for convexoid operators 

      Cecil Onyango, Paul Oleche, Bernad N Okelo (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, ...

    • On Characterization of Scalar Operators via Semigroup and the Associated Generators 

      DO Adicka, PO Oleche (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 Regular Prime Graphs of Solvable Groups 

      Donnie Munyao Kasyoki, Paul Odhiambo Oleche (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.

    • 4-Regular prime graphs of nonsolvable groups 

      Donnie Munyao Kasyoki, Paul Odhiambo Oleche (CORNELL UNIVERSITY, 2019-01-11)
      Let G be a finite group and cd(G) denote the character degree set for G. The prime graph ∆(G) is a simple graph whose vertex set consists of prime divisors of elements in cd(G), denoted ρ(G). Two primes p, q ∈ ρ(G) are ...

    • Norms of Derivations Implemented by S-Universal Operators 

      JO Bonyo, JO Agure (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 ...

    • On the Generalized Reid Inequality and the Numerical Radii 

      JO Bonyo, DO Adicka, JO Agure (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

    • Groups of isometries associated with automorphisms of the half-plane 

      Job Otieno Bonyo (Mississippi State University, 2015)
      The study of integral operators on spaces of analytic functions has been considered for the past few decades. However, most of the studies in this line are based on spaces of analytic functions of the unit disc. For the ...

    • Cesáro-like operators on the Hardy and Bergman spaces of the half plane 

      S Ballamoole, JO Bonyo, TL Miller, VG Miller (Springer International Publishing, 2016-01-01)
      We construct integral operators associated with strongly continuous groups of invertible isometries on the Hardy spaces and the weighted Bergman spaces of the upper half plane. Specifically, we obtain the spectrum and point ...

    • Some Properties of the Essential Numerical Range on Banach Spaces 

      LN Muhati, JO Bonyo, JO Agure (HIKARI Ltd,, 2017)
      We study the properties of the essential algebraic numerical range as well as the essential spatial numerical range for Banach space operators. Mathematics Subject Classi cation: 47A10; 47A05; 47A53

    • Spectral analysis of certain groups of isometries on Hardy and Bergman spaces 

      JO Bonyo (Academic Press, 2017-12-15)
      Using the similarity theory of semigroups as well as spectral theory, we obtain the resolvents of the generators of strongly continuous groups of isometries on the Hardy and Bergman spaces. These groups are obtained as ...

    • Weighted Composition Groups on the Little Bloch Space 

      SB Mose, JO Bonyo (Hindawi, 2020-04-29)
      We determine both the semigroup and spectral properties of a group of weighted composition operators on the little Bloch space. It turns out that these are strongly continuous groups of invertible isometries on the Bloch ...