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; Taskinen, Jari(Wiley-VCH Verlag, 2015-08)
We characterize boundedness, compactness and weak compactness of Volterra operators Vg acting between
different weighted Banach spaces H∞
v (C) of entire functions with sup-norms in terms of the symbol g; thus
we ...
Bonet Solves, José Antonio; Vukotic, Dragan(Springer-Verlag, 2017-09)
[EN] Given a non-negative weight v, not necessarily bounded or strictly positive, defined on a domain G in the complex plane, we consider the weighted space H-v(infinity) (G)of all holomorphic functions on G such that the ...
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 ...
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 ...
The abscissas of convergence, uniform convergence and absolute
convergence of vector valued Dirichlet series with respect
to the original topology and with respect to the weak topology
σ(X, X
) of a locally convex space ...
Bonet Solves, José Antonio; Mangino, Elisabetta M.(Informa UK (National Inquiry Services Center), 2020-08-03)
[EN] In analogy to the notion of associated weights for weighted spaces of analytic functions with sup-norms, p-associated weights are introduced for spaces of entire p-integrable functions, 1 <= p < infinity. As an ...
Ribera Puchades, Juan Miguel(Universitat Politècnica de València, 2015-05-11)
[EN] The Ph.D. Thesis "Atomic decompositions and frames in Fréchet spaces and their duals" presented here treats different areas of functional analysis with applications.
Schauder frames are used to represent an arbitrary ...
Bonet Solves, José Antonio; WEGNER, SVEN-AKE(Adam Miekiewicz University. Faculty of Mathematics and Computer Science, 2011)
[EN] We establish a criterion to decide when a countable projective limit
of countable inductive limits of normed spaces is bornological. We
compare the conditions occurring within our criterion with well-known
abstract ...
Bonet Solves, José Antonio; Bonilla, Antonio(Springer Verlag (Germany), 2013-02-11)
Motivated by recent work on the rate of growth of frequently hypercyclic entire functions due to Blasco, Grosse-Erdmann and Bonilla, we investigate conditions to ensure that the differentiation operator is chaotic or ...
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 ...
Beltrán Meneu, María José; Bonet Solves, José Antonio; Fernández, Carmen(American Institute of Mathematical Sciences (AIMS), 2015-02)
We study the integration operator, the differentiation operator
and more general differential operators on radial Fr´echet or (LB) H¨ormander
algebras of entire functions. We analyze when these operators are power
bounded, ...
Beltrán Meneu, María José; Bonet Solves, José Antonio; Fernández Rosell, María Carmen(American Mathematical Society, 2013-08-09)
We study the operators of differentiation and of integration and
the Hardy operator on weighted Banach spaces of entire functions. We estimate
the norm of the operators, study the spectrum, and analyze when they
are ...
[EN] Given an infinite dimensional Banach space X and its open unit ball B , we study when the weighted composition operator C ,l, ,p is compact in the space of all bounded analytic functions H & DEG;& DEG;(B) , and when ...
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, ...
Bonet Solves, José Antonio; Lusky, Wolfgang; Taskinen, Jari(Springer-Verlag, 2019-04)
[EN] Let v be a radial weight function on the unit disc or on the complex plane. It is shown that for each analytic function f0 in the Banach space Hv all analytic functions f such that v|f| is bounded, the distance of f0 ...
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 ...
Bonet Solves, José Antonio; Kalmes, Thomas; Peris Manguillot, Alfredo(European Mathematical Society Publishing House, 2021)
[EN] We investigate dynamical properties such as topological transitivity, (sequential) hypercyclicity, and chaos for backward shift operators associated to a Schauder basis on LF-spaces. As an application, we characterize ...
Bonet Solves, José Antonio; Mengestie, Tesfa; Worku, Mafuz(Springer-Verlag, 2019-12)
[EN] Various dynamical properties of the differentiation and Volterra-type integral operators on generalized Fock spaces are studied. We show that the differentiation operator is always supercyclic on these spaces. We ...