García, Domingo; Jorda Mora, Enrique; Maestre, Manuel(Elsevier, 2017-01-15)
[EN] In this paper we give a new characterization of when a Banach space E has the Schur property in terms of the disk algebra. We prove that E has the Schur property if and only if A(D, E) = A(D,E-w). (C) 2016 Elsevier ...
Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav(Elsevier, 2017)
[EN] There is a maybe unexpected connection between three apparently unrelated notions concerning a given w*-dense subspace Y of the dual X* of a Banach space X: (i) The norming character of Y, (ii) the fact that (Y, w*) ...
Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente(Springer-Verlag, 2015)
[EN] By using a result in Kirk (Pac J Math 45:543 554, 1973), we show that there are separable Banach spaces such that their dual spaces, endowed with the Mackey-star topology, are not analytic. This solves a question ...
[EN] A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in normed spaces by their eigenvectors is shown. Different ways of providing integral representations for these approximations are ...
Agud Albesa, Lucia; Calabuig, J. M.; Juan, Maria Aranzazu; Sánchez Pérez, Enrique Alfonso(MDPI AG, 2020-01)
[EN] Let (Omega,sigma,mu) be a finite measure space and consider a Banach function space Y(mu). We say that a Banach space E is representable by Y(mu) if there is a continuous bijection I:Y(mu)-> E. In this case, it is ...
Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente(Springer Verlag, 2015-04)
Bonet and Cascales [Non-complete Mackey topologies on Banach spaces, Bulletin of the Australian Mathematical Society, 81, 3 (2010), 409-413], answering a question of M. Kunze and W. Arendt, gave an example of a norming ...
Zago, Nicola(Universitat Politècnica de València, 2023-09-22)
[ES] Consideramos el espacio L(X) de operadores acotados en un espacio de Banach X dotado de tres topologías localmente convexas naturales: la de la norma, la topología débil de operadores, y la topología fuerte de operadores. ...
[EN] In this paper, we introduce a new iterative scheme for solving the split common null point problem. We then prove the strong convergence theorem under suitable conditions. Finally, we give some numerical examples for ...
[EN] A classical result of Harald Bohr linked the study of convergent and bounded Dirichlet series on the right half plane with bounded holomorphic functions on the open unit ball of the space c(0) f complex null sequences. ...
[EN] A new stochastic approach is presented to understand general spectral type problems for (not necessarily linear) functions between topological spaces. In order to show its potential applications, we construct the ...
In this work we introduce a new form of setting the general assumptions for the local convergence studies of iterative methods in Banach spaces that allows us to improve the convergence domains. Specifically a local ...
[EN] The objective in this paper is the expansion of the utilization for a fifth convergence order scheme without derivatives for finding solutions of Banach space valued equations. Conditions of the first order divided ...
[EN] In this paper we give a local convergence result for a uniparametric family of iterative methods for nonlinear equations in Banach spaces. We assume boundedness conditions involving only the first Fr,chet derivative, ...
Singh, Sukhjit; Gupta, D. K.; Badoni, Rakesh P.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís(Springer-Verlag, 2017)
[EN] The local convergence analysis of a parameter based iteration with Hölder continuous first derivative is studied for finding solutions of nonlinear equations in Banach spaces. It generalizes the local convergence ...
Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari(Cambridge University Press, 2021-06)
[EN] We consider the Cauchy problem for a general class of parabolic partial differential equations in the Euclidean space R-N. We show that given a weighted L-p-space L-w(p)(R-N) with 1 <= p < infinity and a fast growing ...
Argyros, Ioannis K.; Cordero Barbero, Alicia; Magreñán Ruiz, Ángel Alberto; Torregrosa Sánchez, Juan Ramón(Elsevier, 2015-09-01)
[EN] We present a convergence analysis for a damped Newton-like method with modified righthand
side vector in order to approximate a locally unique solution of a nonlinear equation in
a Banach spaces setting. In the ...
Argyros, Ioannis K.; Cordero Barbero, Alicia; Magreñán Ruiz, Ángel Alberto; Torregrosa Sánchez, Juan Ramón(Elsevier, 2015-02-01)
[EN] We present a convergence analysis for a Damped Secant method with modified right-hand
side vector in order to approximate a locally unique solution of a nonlinear equation in a
Banach spaces setting. In the special ...
Argyros, Ioannis K.; Cordero Barbero, Alicia; Alberto Magreñán, A.; Torregrosa Sánchez, Juan Ramón(Elsevier, 2017)
[EN] In this paper, we present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some ...
[EN] While the classic separable quotient problem remains open, we survey general results related to this problem and examine the existence of infinite-dimensional separable quotients in some Banach spaces of vector-valued ...
[EN] We describe the topology of any cosmic space and any N-o-space in terms of special bases defined by partially ordered sets. Using this description we show that a Baire cosmic group is metrizable. Next, we study those ...