Revistas académicas de la Universidad Católica del Norte
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Bounded linear operator for some new matrix transformations
No full textIn this paper, we define (σ, θ)-convergence and characterize (σ, θ)-conservative, (σ, θ)-regular, (σ, θ)-coercive matrices and we also determine the associated bounded linear operators for these matrix classes
Half-Sweep Geometric Mean Iterative Method for the Repeated Simpson Solution of Second Kind Linear Fredholm Integral Equations
No full textIn previous studies, the effectiveness of the Half-Sweep Geometric Mean (HSGM) iterative method has been shown in solving first and second kind linear Fredholm integral equations using repeated trapezoidal (RT) discretization scheme. In this work, we investigate the efficiency of the HSGM method to solve dense linear system generated from the discretization of the second kind linear Fredholm integral equations by using repeated Simpson's 1/3(RS1) scheme. The formulation and implementation ofthe proposed method are also presented. In addition, several numerical simulations and computational complexity analysis were also included to verify the efficiency of the proposed method
Asymptotically Convex Banach Spaces and The Index of Rotundity Problem
No full textThe Index of Rotundity Problem asks whether a Banach space which admits equivalent renormings with index of rotundity as small as desired also admits an equivalent rotund renorming. In this paper we continue the ongoing search for a negative answer to this question by making use of a new concept: asymptotically convex Banach spaces. Some applications to The Approximation Hyperplane Series Property are given
A Simple Remark on Fields of Definition
No full textLet K< L be an extension of fields, in characteristic zero, with L algebraically closed and let K< L be the algebraic closure of K in L. Let X and Y be irreducible projective algebraic varieties, X defined over K and Y defined over L, and let π : X → Y be a non-constant morphism, defined over L. If we assume that K ≠ L,then one may wonder if Y is definable over K. In the case that K = Q, L = C and that X and Y are smooth curves, a positive answer was obtained by Gonzalez-Diez. In this short note we provide simple conditions to have a positive answer to the above question. We also state a conjecture for a class of varieties of general type.
Improving Some Sequences Convergent to Euler-Mascheroni Constant
No full textWe obtain very fast sequences convergent to Euler-Mascheroni constant
On an Algorithm for Finding Derivations of Lie Algebras
No full textLet g be an arbitrary finite dimensional Lie algebra over the field R. We give as an additional alternative a detailed overview of an algorithm for finding derivations of g since such procedures are often of interest
A note on the rescaling of the skew-normal distribution
No full textIn this article, we show that certain skew-normal parametric statistical models are a result of rescalings of the skew normal model studied by Azzalini (1985). Using this procedure we define a class of skew-normal distributions and we study its moment, skewness and kurtosis coefficients. At the end of this article we will use this classof distribution to make some extensions of the skew-normal model
New numerical radius inequalities for certain operator matrices
No full textIn this paper we prove some upper and lower bounds for the numerical radius of the off-diagonal part of 3 X 3 operator matrices and some bounds for the numerical radius inequalities of the general 3 X 3 operator matrix
The Signature in Actions of Semisimple Lie Groups on Pseudo-Riemannian Manifolds
No full textWe study the relationship between the signature of a semisimple Lie group and a pseudoRiemannian manifold on wich the group acts topologically transitively and isometrically. We also provide a description of the bi-invariant pseudo-Riemannian metrics on a semisimple Lie Group over R in terms of the complexification of the Lie algebra associated to the group, and then we utilize it to prove a remark of Gromov
Polar Topologies on sequence spaces in non-archimedean analysis
No full textThe purpose of the present paper is to develop a theory of a duality in sequence spaces over a non-archimedean vector space. We introduce polar topologies in such spaces, and we give basic results characterizing compact, C-compact, complete and AK —complete subsets related to these topologies