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Browsing Department of Mathematics by Title

Browsing Department of Mathematics by Title

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  • 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 ...
  • 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
  • Flora Mati Runji, John Ogonji Agure, Fredrick Oluoch Nyamwala (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). ...
  • Denis Njue Kingangi, John Ogoji Agure, Fredrick Oluoch Nyamwala (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.
  • FM Runji, JO Agure, FO Nyamwala (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
  • Paul O Oleche, N Omolo-Ongati, John O Agure (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
  • NB Okelo, JO Agure (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 ...
  • 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 ...
  • 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 ...
  • 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

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