[EN] In this paper we present an algorithm to obtain the parameter planes of families of root-finding methods with several free critical points. The parameter planes show the joint behaviour of all critical points. This ...
Jorda Mora, Enrique; Rodríguez-Arenas, Alberto(Elsevier, 2020-06-01)
[EN] The composition operators defined on little Bloch spaces, Bergman spaces, Hardy spaces or little weighted Bergman spaces of infinite type, when well defined, are shown to be mean ergodic if and only if they are power ...
Rodríguez Arenas, Alberto(Universitat Politècnica de València, 2020-03-26)
[ES] El objetivo de esta tesis es estudiar las propiedades ergódicas (acotación en potencias, ergodicidad media y ergodicidad media uniforme) de operadores definidos en varios espacios de funciones. En un espacio Hausdorff ...
Bonet Solves, José Antonio; Jorda Mora, Enrique; Rodríguez-Arenas, Alberto(Springer-Verlag, 2018)
[EN] Multiplication operators on weighted Banach spaces and locally convex spaces of continuous functions have been thoroughly studied. In this note, we characterize when continuous multiplication operators on a weighted ...
Rodríguez Arenas, Alberto(Universitat Politècnica de València, 2016-07-29)
[EN] The aim of this work is to review the main results about power bounded and (uniformly) mean ergodic operators on Banach spaces, including the theorems of Yosida and of Lin. These theorems are applied to the study of ...
[EN] Several questions about diagonal operators between Köthe echelon spaces are investigated: (1) The spectrum is characterized in terms of the Köthe matrices defining the spaces, (2) It is characterized when these operators ...