Bonet Solves, José Antonio(Springer-Verlag, 2020-01-11)
[EN] A characterization of those points of the unit circle which belong to the spectrum of a composition operator C phi, defined by a rotation phi (z)=rz with |r|=1, on the space H0(D) of all analytic functions which vanish ...
Bonet Solves, José Antonio; DOMANSKI, PAWEL(Springer-Verlag, 2017-01)
[EN] In this paper the spectrum of composition operators on the space of real analytic functions is investigated. In some cases it is completely determined while in some other cases it is only estimated.
Bonet Solves, José Antonio; Domanski, Pawel(Springer Verlag (Germany), 2015-04)
We obtain full description of eigenvalues and eigenvectors
of composition operators Cϕ : A (R) → A (R) for a real analytic self
map ϕ : R → R as well as an isomorphic description of corresponding
eigenspaces. We completely ...
GALBIS VERDU, ANTONIO; Jorda Mora, Enrique(European Mathematical Society Publishing House, 2018)
[EN] We study composition operators on the Schwartz space of rapidly decreasing functions. We prove that such a composition operator is never a compact operator and we obtain necessary or sufficient conditions for the 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 ...
[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 ...
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 ...
[EN] In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator ...
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 ...
Fernández, Carmen; Galbis, Antonio; Jorda Mora, Enrique(Elsevier, 2020-05-13)
[EN] We study the spectrum of operators in the Schwartz space of rapidly decreasing functions which associate each function with its composition with a polynomial. In the case where this operator is mean ergodic we prove ...