• openAccess   Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes 

      Lizama, Carlos; murillo arcila, marina American Institute of Mathematical Sciences (2020)
      In this paper we investigate conditions for maximal regularity of Volterra equations defined on the Lebesgue space of sequences ‘p(Z) by using Bl¨unck’s theorem on the equivalence between operator-valued ‘p-multipliers ...
    • openAccess   Highly tempering infinite matrices 

      Bernal González, Luis; Conejero, J. Alberto; murillo arcila, marina; Seoane Sepúlveda, Juan Springer Milan (2017-02)
      In this short note, it is proved the existence of in nite matrices that not only preserve convergence and limits of sequences but also convert every mem- ber of some dense vector space consisting, except for zero, of ...
    • openAccess   Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay 

      Abadias, Luciano; Lizama, Carlos; murillo arcila, marina American Institute of Mathematical Sciences (AIMS) (2018-01)
      We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the ...
    • openAccess   Invertibles in topological rings: a new approach 

      Garcia-Pacheco, Francisco; Miralles, Alejandro; murillo arcila, marina Springer (2021-11-15)
      Every element in the boundary of the group of invertibles of a Banach algebra is a topological zero divisor. We extend this result to the scope of topological rings. In particular, we define a new class of semi-normed ...
    • openAccess   Maximal lp-regularity for discrete time Volterra equations with delay 

      Lizama, Carlos; murillo arcila, marina Taylor & Francis (2019-07-08)
      In this paper, we investigate the existence and uniqueness of solutions belonging to the vector-valued space ℓp(Z,X) by using Blunck's theorem on the equivalence between operator-valued ℓp-multipliers and the notion of ...
    • openAccess   [S]-linear and convex structures in function families 

      Bernal González, Luis; Conejero, J. Alberto; murillo arcila, marina; Seoane-Sepúlveda, J. B. Elsevier (2019)
      In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a general abstract setting. This new notion is, then, applied to specific situations, as for instance, ...
    • openAccess   Sensitive dependence for nonautonomous discrete dynamical systems 

      Miralles Montolío, Alejandro; murillo arcila, marina; Sanchis López, Manuel Elsevier (2018-03)
      Given a nonautonomous discrete dynamical system (NDS) we show that transitivity and density of periodic points do not imply sensitivity in general, i.e., in the definition of Devaney chaos there are no redundant conditions ...
    • openAccess   Well-posedness for degenerate third order equations with delay and applications to inverse problems 

      Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina; Seoane Sepúlveda, Juan Springer (2018-10)
      In this paper, we study well-posedness for the following third-order in time equation with delay (0.1)α(Mu′)′′(t)+(Nu′)′(t)=βAu(t)+γBu′(t)+Gu′t+Fut+f(t),t∈[0,2π] where α, β, γ are real numbers, A and B are linear operators ...