Albanese, Angela Ama; Bonet Solves, José Antonio; Ricker, Werner J.(Elsevier, 2013-05-01)
Every Köthe echelon Fréchet space XX that is Montel and not isomorphic to a countable product of copies of the scalar field admits a power bounded continuous linear operator TT such that I−TI−T does not have closed range, ...
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 ...
Galindo, Jorge; Jorda Mora, Enrique(Theta Foundation, 2021)
[EN] Let G be a locally compact group and µ be a measure on G. In
this paper we find conditions for the convolution operators ¿p(µ) : L
p
(G) ¿
L
p
(G) to be mean ergodic and uniformly mean ergodic. The ergodic properties ...
Seyoum, Werkaferahu; Mengestie, Tesfa; Bonet Solves, José Antonio(Springer-Verlag, 2019-12-05)
[EN] Every bounded composition operator C psi defined by an analytic symbol psi on the complex plane when acting on generalized Fock spaces F phi p,1 <= p <=infinity and p=0, is power bounded. Mean ergodic and uniformly ...