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Listar por palabra clave "Mean ergodic operators"

Mostrando ítems 1-10 de 10

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 ...
Cesaro bounded operators in Banach spaces

Bermúdez, Teresa; Bonilla, Antonio; Muller, Vladimir; Peris Manguillot, Alfredo (Springer-Verlag, 2020-03)

[EN] We study several notions of boundedness for operators. It is known that any power bounded operator is absolutely Cesaro bounded and strongly Kreiss bounded (in particular, uniformly Kreiss bounded). The converses do ...
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 ...
Mean ergodic operators and reflexive Fréchet lattices

Bonet Solves, José Antonio; de Pagter, Ben; Ricker, Werner Joseph (2011-09-26)

Connections between (positive) mean ergodic operators acting in Banach lattices and properties of the underlying lattice itself are well understood (see the works of Emel'yanov, Wolff and Zaharopol). For Frechet lattices ...
Operadores ergódicos en media en espacios de Banach

Rodríguez Arenas, Alberto (Universitat Politècnica de València, 2016-07-29)

[EN] The aim of this work is to review the main results about power bounded and (uniformly) mean ergodic operators on Banach spaces, including the theorems of Yosida and of Lin. These theorems are applied to the study of ...
Power bounded composition operators on spaces of meromorphic functions

Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David (Elsevier, 2016-04-15)

[EN] We study composition operators with holomorphic symbols defined on spaces of meromorphic functions, when endowed with their natural locally convex topology. First, we show that such operators are well-defined, continuous ...
Some results about diagonal operators on Köthe echelon spaces

Rodríguez-Arenas, Alberto (Springer-Verlag, 2019-10)

[EN] Several questions about diagonal operators between Köthe echelon spaces are investigated: (1) The spectrum is characterized in terms of the Köthe matrices defining the spaces, (2) It is characterized when these operators ...
Uniform Convergence and Spectra of Operators ina Class of Fréchet Spaces

Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner J. (Hindawi Publishing Corporation, 2014)

Well-known Banach space results (e.g., due to J. Koliha and Y. Katznelson/L. Tzafriri), which relate conditions on the spectrum of a bounded operator T to the operator norm convergence of certain sequences of operators ...
Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

Bonet Solves, José Antonio (Springer-Verlag, 2022-10)

[EN] In this survey we report about recent work on weighted Banach spaces of analytic functions on the unit disc and on the whole complex plane defined with sup-norms and operators between them. Results about the solid ...