We construct strongly mixing invariant measures with full support for operators on F-spaces which satisfy the Frequent Hypercyclicity Criterion. For unilateral backward shifts on sequence spaces, a slight modification shows ...
Beltrán-Meneu, M. J.; Jorda Mora, Enrique; Murillo Arcila, Marina(Springer-Verlag, 2020-09)
[EN] Our study is focused on the dynamics of weighted composition operators defined on a locally convex space E similar to. (C( X), tp) with X being a topological Hausdorff space containing at least two different points ...
[EN] In this paper, we highlight that Graph Theory is certainly well suited to an applications approach. One of the basic problems that this theory solves is finding the shortest path between two points. For this purpose, ...
Bernal-González, Luis; Calderón-Moreno, María del Carmen; Murillo Arcila, Marina; Prado-Bassas, José A.(Springer-Verlag, 2020-10-20)
[EN] In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Specifically, we study both topological and algebraic genericity ...
García-Pacheco, Francisco Javier; Kama, Ramazan; Murillo Arcila, Marina(Springer-Verlag, 2022-02)
[EN] In this paper, we introduce the spaces of vector-valued sequences containing multiplier (weakly) statistically convergent series. The completeness of such spaces is studied as well as some relations between unconditionally ...
Lizama, Carlos; Murillo Arcila, Marina(University of Szeged, 2021)
[EN] In this paper, we completely characterize, only in terms of the data, the well-posedness of a fourth order abstract evolution equation arising from the Moore-Gibson-Thomson equation with memory. This characterization ...
Conejero, J. Alberto; Lizama, C.; Murillo-Arcila, Marina; SEOANE SEPÚLVEDA, JUAN BENIGNO(Springer-Verlag, 2019-01)
[EN] In this paper, we study well-posedness for the following third-order in time equation with delay <disp-formula idoperators defined on a Banach space X with domains D(A) and D(B) such that t)is the state function taking ...
[EN] In this work, we provide a full characterization of well-posedness in vector-valued Holder continuous function spaces for a fourth-order abstract evolution equation arising from the Moore-Gibson-Thompson equation with ...
Conejero, J. Alberto; Murillo Arcila, Marina; Seoane, Jesús M.; Seoane-Sepúlveda, Juan B.(Mathematical Association of America, 2022-10)
[EN] We analyze the dynamics of a system of several cars in a traffic lane, each car following the ones in front of it. The effect of small perturbations in the speed of a certain car is propagated to the cars behind it ...