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Browsing Department of Mathematics by Title

Browsing Department of Mathematics by Title

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  • 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
  • awora Thomas Mwakudisa, Edgar Ouko Otumba, Joyce Akinyi Otieno (Science Publishing Group, 2020-09-01)
    Abstract: Small scale farming is currently still heavily dependent on rainfall in developing nations. With the challenge of climate change, many innovations are proposed to help the farmers mitigate and adapt. The use of ...
  • 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 ...
  • ISA~C MOGAKA ORORA (University of Kenyatta., 1986)
    The purpose of the study was to identify the attitudes held by the primary school teachers and pupils toward the teaching and learning of Mathematics respectively. The study was done at Masimba Educational zone, Irianyi ...
  • NB Okelo, JO Agure, PO Oleche (Elsevier, 2013-09-01)
    In this paper, we present various notions and aspects of orthogonality in normed spaces. Characterizations and generalizations of orthogonality are also considered. Results on orthogonality of the range and the kernel of ...
  • 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 ...

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