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.
[EN] We prove that under some mild conditions on the symbol phi, the spectrum of the corresponding composition operator C-phi on the Korenblum type spaces A_(-alpha) and A(+)(-alpha) contains a closed ball of positive radius.
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 ...
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 composition operators on spaces of double Dirichlet series, focusing our interest on the characterization of the composition operators of the space of bounded double Dirichlet series H infinity(C+2) We also ...
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 ...
Albanese, Angela A.; Jorda Mora, Enrique; Mele, Claudio(Elsevier, 2022-10-01)
[EN] In this paper we consider composition operators on locally convex spaces of functions defined on R. We prove results concerning supercyclicity, power boundedness, mean ergodicity and convergence of the iterates in the ...
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 the Hardy space of translated Dirichlet series H+. It consists on those Dirichlet series Sigma a(n)n(-s) such that for some (equivalently, every) 1 <= p < infinity, the translation Sigma a(n)n(-(s+ 1/sigma)) ...
[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] 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] 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 ...