Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner Joseph(Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics), 2014-09-29)
[EN] We characterize Köthe echelon spaces (and, more generally, those Fréchet
spaces with an unconditional basis) which are Schwartz, in terms of the convergence of the Cesàro means of power bounded operators defined on ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2016)
[EN] The spectrum and point spectrum of the Cesaro averaging operator C acting on the Frechet space C-infinity(R+) of all C-infinity functions on the interval [0, infinity) are determined. We employ an approach via ...
Beltrán Meneu, María José; Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David(Elsevier, 2016)
[EN] Given a symbol cc, i.e., a holomorphic endomorphism of the unit disc, we consider the composition operator C-phi(f) = f circle phi defined on the Banach spaces of holomorphic functions A(D) and H-infinity(D). We obtain ...
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 ...
Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2016)
[EN] A detailed investigation is made of the continuity, the compactness and the spectrum of the Cesàro operator C acting on the weighted Banach sequence space c0(w) for a bounded, strictly positive weight w. New features ...
Beltrán Meneu, María José; Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David(Elsevier, 2016)
[EN] Let phi be a self-map of the unit disc D of the complex plane C and let psi be a holomorphic function on D. We investigate the mean ergodicity and power boundedness of the weighted composition operator C-phi,C-psi(f) ...
Bonet Solves, José Antonio; Domanski, P.(Springer Milan, 2011-01)
We study the dynamical behaviour of composition operators defined on spaces of real analytic functions. We characterize when such operators are power bounded, i.e. when the orbits of all the elements are bounded. In this ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2016)
[EN] The CesA ro operator C, when acting in the classical growth Banach spaces and , for , of analytic functions on , is investigated. Based on a detailed knowledge of their spectra (due to A. Aleman and A.-M. Persson) we ...
Albanese, Angela; Bonet Solves, José Antonio; Ricker, W.(Theta Foundation, 2018)
[EN] A detailed investigation is made of the continuity, spectrum and mean ergodic properties of the Cesaro operator C when acting on the strong duals of power series spaces of infinite type. There is a dramatic difference ...
[EN] Unlike for l(p), 1 < p <= infinity, the discrete Cesaro operator C does not map l(1) into itself. We identify precisely those weights w such that C does map l(1)(w) continuously into itself. For these weights a complete ...