Content Vol. 1 N 1, 2015

Pages 01 - 91



On completely bounded maps; Julia. N. Owino, J. O. Agure, F. O. Nyamwala; Inter. J. Acad. Stud.  1(1): (2015) 1-6

Abstract:
Let A and B be C*−algebras, Mn(A) and Mn(B) be n by n matrices with entries from A and B respectively and ϕ : A -> B a linear map, then we de ne maps ϕn: Mn(A) -> Mn(B) by ϕn ([ai;j]) = [ϕ(ai;j)] for all n ∈ N, [ai;j] ∈ Mn(S). We determine conditions under which ϕ niscompletely bounded for all n ∈ N.

Key words:
Norm, Completely Bounded norm, Completely Bounded maps.


Properties of local automorphisms of commutative Banach algebras; Kangogo Willy, N. B. Okeloa, Omolo Ongati; Inter. J. Acad. Stud.  1(1): (2015) 7-13

Abstract:
Let be an infinite dimensional separable complex Hilbert space and B(H) the set of all bounded linear operators on H . We prove that every local automorphism of B(H) is: automorphism, linear, bounded, inner, continous and the group of every local automorphisms is algebraically reflexive.


Key words:
Automorphisms; Linearity; Continuity; Boundedness; Inner.



A review of geometrical properties of the numerical range and Davis-Wielandt shell of Hilbert space operators; Nyongesa Abraham Matayo, N. B. Okelo; Inter. J. Acad. Stud.  1(1): (2015) 14-26

Abstract:
The study of the geometrical properties of the numerical range of a bounded linear operator in a complex Hilbert space gives a lot of information about the algebraic properties of the operator. In this paper, we review some known results on numerical ranges and special emphasis is given to the points that lie on the boundary of the numerical range and Davis-Wielandt shell being a generalization of the numerical range. We discuss the geometrical properties of these points which reveal a lot of information about the algebraic properties of the bounded linear operator in a complex Hilbert space.


Key words:
Numerical range; Davis-Wielandt shell; Geometrical properties; Hilbert space.


Influence of human capital development on the quality of financial reports and project planning in on-governmental organizations; N. B. Okelo, Jean Ezeudu, Kezzy Omunwa, Sarah Ojukwu; Inter. J. Acad. Stud.  1(1): (2015) 27-45

Abstract:
The purpose of the study was to find out whether human capital development influences the quality of financial reporting of NGOs in Gulu District. The specific objectives of the study were to determine the relationship between human capital development and the quality of financial reporting, examine the relationship between human resource practices and the quality of financial reporting, examine the relationship between human capital development and human resource policy and examine if human resource practices moderate/ mediate the relationship between human capital development and the quality of financial reporting. Some recommendations were then formulated thus: Organizations should encourage and support their accounting staff to attain professional qualifications. The staff should strive to attain membership of professional accounting bodies. The staff should also be motivated as well as regularly trained on job. Management should observe strict adherence to accounting and financial manuals. Organizations should also reinforce workplace policies as well as review their current accounting systems to identify gaps and then put in place steps to fill those gaps.

Key words:
Human capital development; Human resource; Financial reporting; Non-Governmental Organization.


Certain aspects of the numerical range and Davis-Wielandt shell of Hilbert space operators; Nyongesa Abraham Matayo, N. B. Okelo; Inter. J. Acad. Stud.  1(1): (2015) 46-55

Abstract:
A characterization is given to the points in W(T) that lie on the boundary. The collection of such boundary points together with the interior of the convex hull of the spectrum of T forms the set W(T) Moreover, it is shown that such boundary points reveal a lot of information about the normal operator. For instance, such a boundary point always associates with an invariant (reducing) subspace of the normal operator. It follows that a normal operator acting on a separable Hilbert space cannot have a strictly closed convex set as its numerical range. Similar results are obtained for the Davis-Wielandt shell of a normal operator.

Key words:
Numerical range; Davis-Wielandt shell; Geometrical properties; Hilbert space.


Reverse inequalities for the Normaloid operators; P. O. Mogotu, N. B. Okelo; Inter. J. Acad. Stud.  1(1): (2015) 56-59

Abstract:
In this paper we establish some reverse inequalities for Normaloid operators in Hilbert space. Some of the inequalities will be generalization of well-known results for numerical radius due to Dragomir.

Key words:
Normaloid operators; Orthonormal basis; Tensor product; Inequalities; Inner product.


Certain inequalities for   - normal transaloid operators on Hilbert spaces; Nyaluke Kiprono Wesley, N. B. Okelo, Omolo Ongati; Inter. J. Acad. Stud.  1(1): (2015) 60-65

Abstract:
Let H be an infinite dimensional complex Hilbert space and NT(H) denote the class of (α, β) - normal transaloid operators. In this paper, we characterize (α, β) - normal transaloid operators and later determine norm and numerical radii inequalities for (α, β) -normal transaloid operators.

Key words:
Self-adjoint; Positivity Boundedness; Linearity; Continuity and Reflexivity; Normal Transaloid and operator.


Study of an extracellular β-fructofuranosidase of Kluyveromyces marxianus; Salouhi Bouchta, Mohamed El Yachioui, El Ammari Yassine, Outghal Mustaphaa, El Hadiri Hassane, Chaouch Abdelaziz; Inter. J. Acad. Stud.  1(1): (2015) 66-77

Abstract:
Several saccharolytic yeast strains have been isolated from different biotopes (lemon juice, molasses and corn silage). The selective isolation was performed on semi synthetic medium culture containing sucrose as carbon source. SBY1 (Kluyveromyces marxianus) yeast showed the highest saccharolytic activity. Physicochemical and biochemical parameters were studied to optimize the growth and the appearance of enzymatic activity. Carbon source’s influence of Glucose, Galactose, Fructose, Mannose, Sucrose, Lactose, Starch and Inulin showed that SBY1 yeast produces a constitutive extracellular β-fructofuranosidase with a high activity in the presence of sucrose. Moreover, among the different sources of nitrogen ((NH4)2SO4, (NH4)2HPO4, NH4H2PO4, NH4NO3, urea, yeast extract, peptone, and tryptone), yeast extract and peptone have allowed the production of large biomass and high enzyme activity. The β-fructofuranosidase activity reached 5164.1 UI/l after 48 h in optimal conditions of growth (25°C, pH 4.5 and in the presence of 4 g/l sucrose) in a fermentor.

Key words:
Kluyveromyces marxianus; Saccharolytic activity; Constitutive; Extracellular; β-fructofuranosidase.


Global dynamics of a delayed SEIR epidemic model with relapse effect; Abdelali Raji-allah, Hamad Talibi Alaoui; Inter. J. Acad. Stud.  1(1): (2015) 78-91

Abstract:
In this work, we investigate a delayed SEIR epidemic model with relapse effect. It is assumed that the incidence rate is a general function. The existence of the two possible equilibrium states: disease-free equilibrium and endemic equilibrium of the model and their stability depend on the re- production number R0. If R0 ≤ 1, we show the global asymptotic stability of the unique equilibrium state: disease-free equilibrium by using a suitable Lyapunov function and LaSalle´s invariance principle. However, if R0 > 1, we see that the disease-free equilibrium is unstable and the endemic equilibrium is globally asymptotic stable.

Key words:
SEIR epidemic model;  Relapse effect; Lyapunov function; Global asymptotic stability.


User login