Buscar en RiuNet

Listar

Todo RiuNet

Mi cuenta

Acceder

Ayuda RiuNet

Admin. UPV

Listar por autor "Bonet Solves, José Antonio"

Mostrando ítems 1-20 de 98

Página siguiente

A note about the spectrum of composition operators induced by a rotation

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 ...
A note about Volterra operators on weighted Banach spaces of entire functions

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 ...
A note on completeness of weighted normed spaces of analytic functions

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 ...
A note on mean ergodic composition operators on spaces of holomorphic functions

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 ...
A Note on the Spectrum of Composition Operators on Spaces of Real Analytic Functions

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.
Abel's Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions

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 ...
Abscissas of weak convergence of vector valued Dirichlet series

Bonet Solves, José Antonio (Elsevier, 2015-12-15)

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 ...
Associated weights for spaces of p-integrable entire functions

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 ...
Atomic decompositions and frames in Fréchet spaces and their duals

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 ...
Bornological projective limits of inductive limits of normed spaces

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 ...
Chaos of the Differentiation Operator on Weighted Banach Spaces of Entire Functions

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 ...
Characterizing Fréchet-Schwartz spaces via power bounded operators

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 ...
Classical operators on the Hörmander algebras

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, ...
Classical operators on weighted Banach spaces of entire functions

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 ...
Compact weighted composition operators on spaces of holomorphic functions on Banach spaces

Bonet Solves, José Antonio; Jornet Casanova, David; Santacreu, Daniel; Sevilla Peris, Pablo (Theta Foundation, 2023)

[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 ...
Convergence of arithmetic means of operators in Fréchet spaces

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, ...
Distance formulas on weighted Banach spaces of analytic functions

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 ...
Dynamics and spectrum of the Cesàro operator on C-infinity(R+)

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 ...
Dynamics of shift operators on non-metrizable sequence spaces

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 ...
Dynamics of the Volterra-type integral and differentiation operators on generalized Fock spaces

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 ...