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Listar por palabra clave "Banach space"

Mostrando ítems 1-20 de 27

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A characterization of the Schur property through the disk algebra

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 ...
A note on Mackey topologies on Banach spaces

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*) ...
A note on the Mackey-star topology on a dual Banach space

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 ...
Approximate Diagonal Integral Representations and Eigenmeasures for Lipschitz Operators on Banach Spaces

Erdogan, Ezgi; Sánchez Pérez, Enrique Alfonso (MDPI AG, 2022-01)

[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 ...
Banach Lattice Structures and Concavifications in Banach Spaces

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 ...
Completeness in the Mackey topology

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 ...
Convergence of iterates of operators on Banach spaces

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. ...
Convergence theorems for finding the split common null point in Banach spaces

Suantai, Suthep; Srisap, Kittipong; Naprang, Natthapong; Mamat, Manatsawin; Yundon, Vithoon; Cholamjiak, Prasit (Universitat Politècnica de València, 2017-10-02)

[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 ...
Dirichlet series from the infinite dimensional point of view

Defant, A.; García, Domingo; Maestre, Manuel; Sevilla Peris, Pablo (Adam Mickiewicz University, 2018-12)

[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. ...
Eigenmeasures and stochastic diagonalization of bilinear maps

Erdogan, Ezgi; Sánchez Pérez, Enrique Alfonso (John Wiley & Sons, 2021-04)

[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 ...
Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces

Martínez Molada, Eulalia; Singh, S.; Hueso Pagoaga, José Luís; Gupta, D.K. (Elsevier, 2016-04-30)

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 ...
Extended convergence for a fifth-order novel scheme free from derivatives

Behl, Ramandeep; Argyros, Ioannis K.; Martínez Molada, Eulalia; Joshi, Janak (John Wiley & Sons, 2022-04)

[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 ...
Local convergence of a family of iterative methods for Hammerstein equations

Martínez Molada, Eulalia; Singh, Sukhjit; Hueso Pagoaga, José Luís; Gupta, D.K. (Springer-Verlag, 2016)

[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, ...
Local convergence of a parameter based iteration with Holder continuous derivative in Banach spaces

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 ...
On decay rates of the solutions of parabolic Cauchy problems

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 ...
On the convergence of a damped Newton-like method with modified right hand side vector

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 ...
On the convergence of a damped-secant method with modified right-hand side vector

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 ...
On the convergence of a higher order family of methods and its dynamics

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 ...
On the separable quotient problem for Banach Spaces

Ferrando, J. C.; Kakol, Jerzy; López Pellicer, Manuel; Sliwa, Wieslaw (Adam Mickiewicz University, 2018-12)

[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 ...
On topological properties of Fréchet locally convex spaces

Gabriyelyan, S.S; Kakol, Jerzy Marian; Kubzdela, Albert; López Pellicer, Manuel (Elsevier, 2015-09-01)

[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 ...