[EN] Given an infinite dimensional Banach space X and its open unit ball B , we study when the weighted composition operator C ,l, ,p is compact in the space of all bounded analytic functions H & DEG;& DEG;(B) , and when ...
Santacreu Ferra, Daniel(Universitat Politècnica de València, 2022-09-05)
[ES] El objetivo principal de esta tesis es el estudio de diferentes propiedades (principalmente ergódicas) de operadores de composición y de composición ponderados actuando en espacios de funciones holomorfas definidas ...
[EN] We study some dynamical properties of composition operators defined on the space P(^m X) of m-homogeneous polynomials on a Banach space X when P(^m X) is endowed with two different topologies: the one of uniform ...
[EN] We study mean ergodic composition operators on infinite dimensional spaces of holomorphic functions of different types when defined on the unit ball of a Banach or a Hilbert space: that of all holomorphic functions, ...
[EN] Necessary and sufficient conditions are given for mean ergodicity, power boundedness, and topologizability for weighted backward shift and weighted forward shift operators, respectively, on Kothe echelon spaces in ...