- -

Browsing by Subject "Banach space"

RiuNet: Institutional repository of the Polithecnic University of Valencia

Browsing by Subject "Banach space"

Sort by: Order: Results:

  • Icon
    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 ...
  • thumb
    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*) ...
  • thumb
    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 ...
  • thumb
    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 ...
  • thumb
    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 ...
  • Icon
    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. ...
  • thumb
    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 ...
  • thumb
    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, ...
  • thumb
    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 ...
  • thumb
    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 ...
  • thumb
    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 ...
  • thumb
    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 ...
  • Icon
    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 ...
  • thumb
    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 ...
  • thumb
    Product spaces generated by bilinear maps and duality 
    Sánchez Pérez, Enrique Alfonso (Akademie věd České republiky, Matematický ústav, 2015)
    In this paper we analyse a definition of a product of Banach spaces that is naturally associated by duality with a space of operators that can be considered as a generalization of the notion of space of multiplication ...
  • thumb
    Semilocal and local convergence of a fifth order iteration with Frechet derivative satisfying Holder condition 
    Singh, S.; Gupta, D.K.; Martínez Molada, Eulalia; Hueso Pagoaga, José Luís (Elsevier, 2016-03-05)
    The semilocal and local convergence in Banach spaces is described for a fifth order iteration for the solutions of nonlinear equations when the Frechet derivative satisfies the Holder condition. The Holder condition ...
  • thumb
    Semilocal convergence of a family of iterative methods in Banach spaces 
    Hueso Pagoaga, José Luís; Martínez Molada, Eulalia (Springer-Verlag, 2014)
    [EN] In this work, we prove a third and fourth convergence order result for a family of iterative methods for solving nonlinear systems in Banach spaces. We analyze the semilocal convergence by using recurrence relations, ...
  • thumb
    The uniform bounded deciding property and the separable quotient problem 
    López Alfonso, Salvador; Moll López, Santiago Emmanuel (Springer-Verlag, 2019)
    [EN] Saxon-Wilansky's paper "The equivalence of some Banach space problems" contains six properties equivalent to the existence of an infinite dimensional separable quotient in a Banach space with nice simplified proofs. ...