Bonet Solves, José Antonio; Domanski, Pawel(Springer Verlag (Germany), 2011-09)
We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the ...
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 ...
Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David(Elsevier, 2016-04-15)
[EN] We study composition operators with holomorphic symbols defined on spaces of meromorphic functions, when endowed with their natural locally convex topology. First, we show that such operators are well-defined, continuous ...
[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 ...