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Listar por palabra clave "Hypercyclic operator"

Mostrando ítems 1-11 de 11

[S]-linear and convex structures in function families

Bernal-González, L.; Conejero, J. Alberto; Murillo Arcila, Marina; SEOANE SEPÚLVEDA, JUAN BENIGNO (Elsevier, 2019-10-15)

[EN] In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a general abstract setting. This new notion is, then, applied to specific situations, as for ...
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 ...
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 multidimensional Césaro operators

Conejero, J. Alberto; Mundayadan, A.; Seoane-Sepúlveda, J. B. (Belgian Mathematical Society, 2019-03)

[EN] We study the dynamics of the multi-dimensional Cesar degrees integral operator on L-P (I-n), for I the unit interval, 1 < p < infinity, and n >= 2, that is defined as C(f)(x(1),...,x(n)) = 1/x(1)x(2)...x(n) ...
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 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. ...
Finite Intersection Property and Dynamical Compactness

Huang, Wen; Khilko, Danylo; Kolyada, Sergey; Peris Manguillot, Alfredo; Zhang, Guohua (Springer-Verlag, 2018-09)

[EN] Dynamical compactness with respect to a family as a new concept of chaoticity of a dynamical system was introduced and discussed in Huang et al. (J Differ Equ 260(9):6800-6827, 2016). In this paper we continue to ...
Multiplicative structures of hypercyclic functions for convolution operators

Bernal-González, L.; Conejero, J. Alberto; Costakis, G.; Seoane-Sepúlveda, J.B. (Theta Foundation, 2018-06)

[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 ...
On the continuous Cesàro operator in certain function spaces

Albanese, Angela A.; Bonet Solves, José Antonio; Ricker, Werner Joseph (Springer Verlag (Germany), 2015)

Various properties of the (continuous) Cesàro operator C, acting on Banach and Fréchet spaces of continuous functions and L p-spaces, are investigated. For instance, the spectrum and point spectrum of C are completely ...
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 ...
Recurrence in Linear Dynamics

Puig de Dios, Yunied (Universitat Politècnica de València, 2015-03-30)

A bounded and linear operator is said to be hypercyclic if there exists a vector such that its orbit under the action of the operator is dense. The first example of a hypercyclic operator on a Banach space was given in ...