The Australian Journal of Mathematical Analysis and Applications


Home News Editors Volumes RGMIA Subscriptions Authors Contact

ISSN 1449-5910  

 

You searched for castillo
Total of 14 results found in site

4: Paper Source PDF document

Paper's Title:

A Note on Schur's Lemma in Banach Function Spaces

Author(s):

R. E. Castillo, H. Rafeiro and E. M. Rojas

Universidad Nacional de Colombia,
Departamento de Matematicas, Bogota,
Colombia.
E-mail: recastillo@unal.edu.co
 
United Arab Emirates University,
Department of Mathematical Sciences, Al Ain,
United Arab Emirates.
E-mail: rafeiro@uaeu.ac.ae

Universidad Nacional de Colombia,
Departamento de Matematicas, Bogota,
Colombia.
E-mail: emrojass@unal.edu.co

Abstract:

In this small note, in a self contained presentation, we show the validity of Schur's type lemma in the framework of Banach function spaces.



3: Paper Source PDF document

Paper's Title:

A Note on Divergent Fourier Series and λ-Permutations

Author(s):

A. Castillo, J. Chavez and H. Kim

Tufts University,
Department of Mathematics,
Medford, MA 02155,
USA
E-mail: angel.castillo@tufts.edu

Texas Tech University,
Department of Mathematics and Statistics,
Lubbock, TX 79409,
USA
E-mail: josechavez5@my.unt.edu

University of Michigan-Dearborn,
Department of Mathematics and Statistics,
Dearborn, MI 48128,
USA.
E-mail: khyejin@umich.edu

Abstract:

We present a continuous function on [-π,π] whose Fourier series diverges and it cannot be rearranged to converge by a λ-permutation.



3: Paper Source PDF document

Paper's Title:

A Gradient Estimate for Riemannian Manifolds

Author(s):

Rene Erlin Castillo, Hector Camilo Chaparro

Department of Mathematics,
Universidad Nacional de Colombia,
Bogota,
Colombia.
recastillo@unal.edu.co

Program of Mathematics,
Universidad de Cartagena,
Cartagena de Indias,
Colombia.
hchaparrog@unicartagena.edu.co

Abstract:

In this paper we introduce the Kato class and the non-linear Kato class, on a Riemannian manifold of dimension n. We also obtain a gradient estimate for the non-linear Kato class.



2: Paper Source PDF document

Paper's Title:

The Dynamics of an Ebola Epidemic Model with Quarantine of Infectives

Author(s):

Eliab Horub Kweyunga

Department of Mathematics,
Kabale University,
P.O.Box 317, Kabale,
Uganda.

E-mail: hkweyunga@kab.ac.ug

Abstract:

The recurrent outbreaks of ebola in Africa present global health challenges. Ebola is a severe, very fatal disease with case fatality rates of up to 90%. In this paper, a theoretical deterministic model for ebola epidemic with quarantine of infectives is proposed and analyzed. The model exhibits two equilibria; the disease free and endemic equilibrium points. The basic reproduction number, R0, which is the main threshold, is obtained and the stability of the equilibrium points established. Using parameter values drawn from the 2014 West Africa ebola outbreak, a numerical simulation of the model is carried out. It is found that the dynamics of the model are completely determined by R0 and that a quarantine success rate of at least 70% is sufficient to contain the disease outbreak.



2: Paper Source PDF document

Paper's Title:

A Unifying View of Some Banach Algebras

Author(s):

R. Kantrowitz

Mathematics & Statistics Department,
Hamilton College,
198 College Hill Road,
Clinton, NY 13323, USA.
E-mail: rkantrow@hamilton.edu

Abstract:

The purpose of this article is to shed light on a unifying framework for some normed algebras and, in particular, for some Banach algebras. The focus is on linear operators T between normed algebras X and Y and specified subalgebras A of Y. When the action of T on products in X satisfies a certain operative equation, the subspace T-1(A) is stable under the multiplication of X and is readily equipped with a family of canonical submultiplicative norms. It turns out that many familiar and important spaces are encompassed under this versatile perspective, and we offer a sampling of several such. In this sense, the article presents an alternative lens through which to view a host of normed algebras. Moreover, recognition that a normed linear space conforms to this general structure provides another avenue to confirming that it is at once stable under multiplication and also outfitted with an abundance of equivalent submultiplicative norms.


Search and serve lasted 1 second(s).


© 2004-2023 Austral Internet Publishing