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https://hdl.handle.net/10784/27677

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Some applications of the lattice finite representability in spaces of measurable functions
(Scientific and Technical research Council of Turkey - TUBITAK/Turkiye Bilimsel ve Teknik Arastirma Kurumu, 2001-01-01) Gómez Palacio, P.; López Molina, J.A.; Rivera, M.J.; Gómez Palacio, P.; López Molina, J.A.; Rivera, M.J.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
We study the lattice finite representability of the Bochner space L p(P1, Lq(P2)) in lp{lq}, 1 = p, q < 8, and then we characterize the ideal of the operators which factor through a lattice homomorphism between L8(µ) and Lp(µ) and Lp(µ1, Lq(µ2)). © Tübitak.
Characterization of the maximal ideal of operators associated to the tensor norm defined by an Orlicz function
(HELDERMANN VERLAG, 2001-01-01) Loaiza, G; Molina, JAL; Rivera, MJ; Loaiza, G; Molina, JAL; Rivera, MJ; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Given an Orlicz function H satisfying the 2 property at zero, one can use the Orlicz sequence space lH to define a tensor norm gHc and the minimal (Hc-nuclear) and maximal (Hc-integral) operator ideals associated to gHc in the sense of Defant and Floret. The aim of this paper is to characterize Hc-integral operators by a factorization theorem. © Heldermann Verlag.
Local techniques in the study of operators and tensornorms defined by sequence space
(Springer-Verlag Italia, 2004-01-01) Gomez, Patricia; Gomez, Patricia; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Espacios de sucesiones de orlicz l_H y representabilidad finita
(2004-01-01) LOAIZA, GABRIEL IGNACIO; LOAIZA, GABRIEL IGNACIO; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
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.
Sobre un ideal de operadores con parámetros, una función de Orlicz y un número real
(2006-01-01) LOAIZA, GABRIEL IGNACIO; LOAIZA, GABRIEL IGNACIO; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Ultraproducts of real interpolation spaces between L p -spaces
(SPRINGER, 2006-06-01) López Molina, J.A.; Puerta, M.E.; Rivera, M.J.; López Molina, J.A.; Puerta, M.E.; Rivera, M.J.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Let {(L p0 (Od, µd), L p1 (Od, µd)) , d e D}, 1 = p0 < p1 < 8, be a family of compatible couples of L p -spaces. We show that, given a countably incomplete ultrafilter U in D, the ultraproduct (L p0 (Od, µd), L p1 (Od, µd))? q)U , 0< ? < 1,1 = q < 8 of interpolation spaces defined by the real method is isomorphic to the direct sum of an interpolation space of type (L p0 (O1, ? 1 L p1 (O1, ? 1)) ?, q , an intermediate Köthe space between l p0 (O2, ? 2) and l p1 (O2, ? 2), (O2, ? 2)being a purely atomic measure space, and a Köthe function space K(O3) defined on some purely non atomic measure space (O3, ? 3) in such a way that O2 O3 ? ?. © Springer-Verlag Berlin Heidelberg 2006.
Sobre un ideal minimal de operadores definido a través de espacios de interpolación.
(Fondo Editorial Universidad EAFIT, 2007-01-01) PUERTA, MARIA EUGENIA; PUERTA, MARIA EUGENIA; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Representabilidad finita en espacios de funciones medibles.
(2007-12-01) Gomez, Patricia; Gomez, Patricia; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
SOBRE UN IDEAL MINIMAL DE OPERADORES DEFINIDOS MEDIANTE ESPACIOS DE INTERPOLACION
(Fondo Editorial Universidad EAFIT, 2007-12-01) LOAIZA, GABRIEL IGNACIO; LOAIZA, GABRIEL IGNACIO; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Normal factorization in SL(2, Z) and the confluence of singular fibers in elliptic fibrations
(Springer Verlag, 2009-01-01) Cadavid, C.A.; Vélez, J.D.; Cadavid, C.A.; Vélez, J.D.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
In this article we obtain a result about the uniqueness of factorization in terms of conjugates of the matrix of, of some matrices representing the conjugacy classes of those elements of SL(2,Z) arising as the monodromy around a singular fiber in an elliptic fibration (i.e. those matrices that appear in Kodaira's list). Namely we prove that if M is a matrix in Kodaira's list, and M = G1 ···Gr where each Gi is a conjugate of U in SL(2,Z), then after applying a finite sequence of Hurwitz moves the product G1 ···Gr can be transformed into another product of the form H1 ···HnG'n+1 ···G'r where H1 ···Hn is some fixed shortest factorization of M in terms of conjugates of U, and G'n+1 ···G'r = Id2×2. We use this result to obtain necessary and sufficient conditions under which a relatively minimal elliptic fibration without multiple fibers f: S ? D = {z ? C: |z| < 1}, admits a weak deformation into another such fibration having only one singular fiber. © 2009 Heldermann Verlag.
Graded Lie algebras and q-commutative and r-associative parametes
(Springer International Publishing AG, 2009-01-01) Vélez, Juan Diego; Vélez, Juan Diego; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
El problema de pi-geografía y el problema de Hurwitz
(Fondo Editorial Universidad EAFIT, 2009-06-01) CADAVID, CARLOS ALBERTO; Vélez, Juan Diego; CADAVID, CARLOS ALBERTO; Vélez, Juan Diego; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Detección de puntas epilépticas en señales electroncefalográficas para pacientes con epilepsia del lóbulo temporal utilizando wavelets
(Fondo Editorial Universidad EAFIT, 2009-06-01) VILLEGAS, JAIRO ALBERTO; VILLEGAS, JAIRO ALBERTO; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Sobre el parámetro de no extensividad para algunos sistemas super-aditivos
(Fondo Editorial Universidad EAFIT, 2010-01-01) Loaiza, G; Loaiza, G; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Este artículo propone una relación biun´?voca entre el par´ametro de no extensividad q y la funci´on de densidad de probabilidad estacionaria f correspondientes a un observable u para algunos sistemas super?aditivos en los que la Entrop´?a de Tsallis
Some embedding theorems for Hörmander-Beurling spaces
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010-04-15) Motos, Joaquin; Jesus Planells, Maria; Villegas G, Jairo; Motos, Joaquin; Jesus Planells, Maria; Villegas G, Jairo; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
In this paper we prove a number of results on sequence space representations and embedding theorems of Hörmander-Beurling spaces. As a consequence and using sharp results of Meise, Taylor and Vogt, a result of Kaballo on short sequences and hypoelliptic operators is extended to ?-hypoelliptic differential operators and to the vector-valued setting. © 2009 Elsevier Inc. All rights reserved.
Solución de la ecuación de Stokes usando elementos finitos cuadriláteros
(Fondo Editorial Universidad EAFIT, 2010-10-01) Gomez, Patricia; Gomez, Patricia; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
Solución aproximada de sistemas diferenciales mixtos
(Fondo Editorial Universidad EAFIT, 2010-12-01) Castano, JI; Garcia, Orlando; Cano, JAS; Castano, JI; Garcia, Orlando; Cano, JAS; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
En este artículo nos proponemos encontrar una solución aproximada para problemas de valor en la frontera y problemas de valor inicial de un sistema diferencial utilizando el método de los desarrollos de Fer
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.
Adomian Decomposition Method for a Class of Nonlinear Problems
(Hindawi Publishing Corporation, 2011-01-01) Cano, JAS; Cano, JAS; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
The Adomian decomposition method together with some properties of nested integrals is used to provide a solution to a class of nonlinear ordinary differential equations and a coupled system

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