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Browsing Department of Mathematics by Title

Browsing Department of Mathematics by Title

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  • 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 ...
  • Paul O Oleche, Naftali O Ongati, John O Agure (JOOUST, 2009)
    A bounded operator with the spectrum lying in a compact set V ⊂ R, has C∞(V ) functional calculus. On the other hand, an operator H acting on a Hilbert space H, admits a C(R) functional calculus if H is self-adjoint. So ...
  • Shem Aywa, JO Agure, W Rao (Vdm verlag Dr. Muller aktiengeselischaft & co. kg., 2010)
    A sequence (uj)j2N of operators in L(X; Y ) is a (p; q)-summing multi- plier (or (p; q)-summing sequence of operators), in short (uj) 2 `¼p;q (X; Y ), if there exists a constant C > 0 such that, for any ¯nite collection ...
  • 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 ...
  • John Ogonji Agure, David Otieno Ambogo, Fredrick Oluoch Nyamwala (WILEY‐VCH Verlag, 2013-03)
    Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In ...
  • Micheal Babatunde Oguntola, Mathew Ngugi Kinyanjui, John Agure Ogonji (Global Journal of Pure and Applied Mathematics, 2018)
    In this paper, we investigate the importance of structural viscoelasticity in the mechanical response of deformable porous media with incompressible constituents under sudden changes in the external applied quasi-static ...
  • Donnie Munyao Kasyoki (African Institute for Mathematical Sciences, Master Thesis, 2013-05-23)
    In this research project, we seek to address the problem of deciding which nite simple graph is a prime graph of a nite group. In particular, we only focus on showing which 4-regular graphs can be prime graphs of some ...
  • Paul O Oleche, John O Agure (Int. Journal of Math. Analysis,, 2010)
    A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies (z − H)−1 ≤ c z α | z|β ∀ z ∈ R with z α := |z|2 + 1 (1) for some α , β ≥ 0; c > 0, is said to ...
  • 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 ...
  • Mugisha Joseph Ong’ala Jacob Otieno, Oleche Paul (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 ...
  • 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, ...
  • JO Bonyo, JO Agure (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 ...
  • 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 ...
  • JO Bonyo, JO Agure (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 ...
  • 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 ...
  • DO Adicka, W Mukuna, PO Oleche (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∞ ...
  • John O Agure, Paul O Oleche (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 ...
  • 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.
  • JO Agure (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 ...

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