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Listar por palabra clave "Mean ergodic operator"

Mostrando ítems 1-20 de 21

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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 ...
Composition Operators on Classes of Holomorphic Functions on Banach Spaces

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 ...
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 composition operators on function spaces defined by local and global properties

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 ...
Dynamics of Weighted Composition Operators on Spaces of Entire Functions of Exponential and Infraexponential Type

Beltrán Meneu, María José; Jorda Mora, Enrique (Springer-Verlag, 2021-09-07)

[EN] Given an affine symbol phi and a multiplier w, we focus on the weighted composition operator C-w,C-phi acting on the spaces Exp and Exp(0) of entire functions of exponential and of infraexponential type, respectively. ...
Ergodic properties of composition operators on Banach spaces of analytic functions

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 ...
Ergodic properties of convolution operators

Galindo, Jorge; Jorda Mora, Enrique (Theta Foundation, 2021)

[EN] Let G be a locally compact group and µ be a measure on G. In this paper we find conditions for the convolution operators ¿p(µ) : L p (G) ¿ L p (G) to be mean ergodic and uniformly mean ergodic. The ergodic properties ...
Mean ergodic composition operators on Banach spaces of holomorphic functions

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 ...
Mean ergodic composition operators on generalized Fock spaces

Seyoum, Werkaferahu; Mengestie, Tesfa; Bonet Solves, José Antonio (Springer-Verlag, 2019-12-05)

[EN] Every bounded composition operator C psi defined by an analytic symbol psi on the complex plane when acting on generalized Fock spaces F phi p,1 <= p <=infinity and p=0, is power bounded. Mean ergodic and uniformly ...
Mean ergodic multiplication operators on weighted spaces of continuous functions

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 ...
Mean Ergodic Weighted Shifts on Kothe Echelon Spaces

Kalmes, Thomas; Santacreu-Ferrà, Daniel (Springer-Verlag, 2023-10)

[EN] Necessary and sufficient conditions are given for mean ergodicity, power boundedness, and topologizability for weighted backward shift and weighted forward shift operators, respectively, on Kothe echelon spaces in ...
Mean ergodicity and spectrum of the Cesàro operator on weighted c0 spaces

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 ...
Mean ergodicity of weighted composition operators on spaces of holomorphic functions

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) ...
Multiplier and averaging operators in the Banach spaces ces(p), 1<p< infty

Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J. (Springer-Verlag, 2019-02)

[EN] The Banach sequence spaces ces(p) are generated in a specified way via the classical spaces p,1<p<. For each pair 1<p,q< the (p,q)-multiplier operators from ces(p) into ces(q) are known. We determine precisely which ...
Operators acting in sequence spaces generated by dual Banach spaces of discrete Cesàro spaces

Bonet Solves, José Antonio; Ricker, Werner J. (Adam Mickiewicz University, 2021-03)

[EN] The dual spaces d(p), 1 < p < infinity, of the discrete Cesaro (Banach) spaces ces(q), 1 < q < infinity, were studied by G. Bennett, A. Jagers and others. These (reflexive) dual Banach spaces induce the non-normable ...
Operators on the Fréchet sequence space ces(p+), $1 \leq p < \infty$

Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J. (Springer-Verlag, 2019-04)

[EN] The Fréchet sequence spaces ces(p+) are very different to the Fréchet sequence spaces ¿p+,1¿p<¿, that generate them, (Albanese et al. in J Math Anal Appl 458:1314¿1323, 2018). The aim of this paper is to investigate ...
Power bounded composition operators on spaces of analytic functions

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 ...
Spectrum of composition operators on S(R) with polynomial symbols

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 ...
The Cesàro operator in growth Banach spaces of analytic functions

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 ...
The Cesàro operator on duals of power series spaces of infinite type

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 ...