Examinando por Autor "Loaiza, G."

Mostrando 1 - 5 de 5
  • Miniatura
    Ítem
    Application of a Model of Balance Population in a Ball Mill in the Cement Industry
    (Universidad EAFIT, 2014-01-31) Rivera, Ismael; Quintero, Freddy; Bustamante, Oswaldo; Loaiza, G.; Universidad Nacional de Colombia; Universidad EAFIT
  • No hay miniatura disponible
    Ítem
    On operator ideals defined by a reflexive Orlicz sequence space
    (Departamento de Matematicas, Universidad Catolica del Norte, 2006-01-01) López Molina, J.A.; Rivera, M.J.; Loaiza, G.; López Molina, J.A.; Rivera, M.J.; Loaiza, G.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
    Classical theory of tensornorms and operator ideals studies mainly those defined by means of sequence spaces lp. Considering Orlicz sequence spaces as natural generalization of lp spaces, in a previous paper [12] an Orlicz sequence space was used to define a tensornorm, and characterize minimal and maximal operator ideals associated, by using local techniques. Now, in this paper we give a new characterization of the maximal operator ideal to continue our analysis of some coincidences among such operator ideals. Finally we prove some new metric properties of tensornorm mentioned above. © 2007 Universidad Católica del Norte, Departamento de Matemáticas.
  • No hay miniatura disponible
    Ítem
    On the Maximal Operator Ideal Associated with a Tensor Norm Defined by Interpolation Spaces
    (CANADIAN MATHEMATICAL SOC, 2010-12-01) Puerta, M. E.; Loaiza, G.; Puerta, M. E.; Loaiza, G.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
    The classical approach to studying operator ideals using tensor norms mainly focuses on those tensor norms and operator ideals defined by means of `p spaces. In a previous paper, an interpolation space, defined via the real method and using `p spaces, was used to define a tensor norm, and the associated minimal operator ideals were characterized. In this paper, the next natural step is taken, that is, the corresponding maximal operator ideals are characterized. As an application, necessary and sufficient conditions for the coincidence of the maximal and minimal ideals are given. Finally, the previous results are used in order to find some new metric properties of the mentioned tensor norm. © Canadian Mathematical Society 2010.
  • No hay miniatura disponible
    Ítem
    A q-exponential statistical Banach manifold
    (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2013-02-15) Loaiza, G.; Quiceno, H. R.; Loaiza, G.; Quiceno, H. R.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
    Let µ be a given probability measure and Mµ the set of µ-equivalent strictly positive probability densities. In this paper we construct a Banach manifold on Mµ, modeled on the space L 8(p{dot operator}µ) where p is a reference density, for the non-parametric q-exponential statistical models (Tsallis's deformed exponential), where 0<q<1 is any real number. This family is characterized by the fact that when q?1, then the non-parametric exponential models are obtained and the manifold constructed by Pistone and Sempi is recovered, up to continuous embeddings on the modeling space. The coordinate mappings of the manifold are given in terms of Csiszár's F-divergences; the tangent vectors are identified with the one-dimensional q-exponential models and q-deformations of the score function. © 2012 Elsevier Ltd.
  • No hay miniatura disponible
    Ítem
    A Riemannian geometry in the q-exponential Banach manifold induced by q-divergences
    (SPRINGER, 2013-01-01) Loaiza, G.; Quiceno, H.R.; Loaiza, G.; Quiceno, H.R.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
    For the family of non-parametric q-exponential statistical models, in a former paper, written by the same authors, a differentiable Banach manifold modelled on Lebesgue spaces of real random variables has been built. In this paper, the geometry induced on this manifold is characterized by q-divergence functionals. This geometry turns out to be a generalization of the geometry given by Fisher information metric and Levi-Civita connections. Moreover, the classical Amari's a-connections appears as special case of the q-connections ?(q). The main result is the expected one, namely the zero curvature of the manifold. © 2013 Springer-Verlag.