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Listar por autor "Bès, Juan Pablo"

Mostrando ítems 1-7 de 7

An extension of N-linear hypercyclic operators

Bès, Juan; Conejero Casares, José Alberto (Hindawi Publishing Corporation, 2014-05)

Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired ...
Convolution operators supporting hypercyclic algebras

Bès, Juan P.; Conejero, J. Alberto; Papathanasiou, Dimitris (Elsevier, 2017)

[EN] We show that any convolution operator induced by a non-constant polynomial that vanishes at zero supports a hypercyclic algebra. This partially solves a question raised by R. Aron
Disjoint hypercyclic linear fractional composition operators

Bes, J.; Martin O.; Peris Manguillot, Alfredo (Elsevier, 2011)

We characterize disjoint hypercyclicity and disjoint supercyclicity of finitely many linear fractional composition operators acting on spaces of holomorphic functions on the unit disc, answering a question of Bernal-González. ...
Disjoint mixing operators

Bès, Juan P.; Martin, Özgür; Peris Manguillot, Alfredo; Shkarin, Stanislav A. (Elsevier, 2012-09-01)

Chan and Shapiro showed that each (non-trivial) translation operator f(z){mapping} Tλf(z+λ) acting on the Fréchet space of entire functions endowed with the topology of locally uniform convergence supports a universal ...
Hypercyclic algebras for convolution and composition operators

Bès, J.; Conejero, J. Alberto; Papathanasiou, D. (Elsevier, 2018)

[EN] We provide an alternative proof to those by Shkarin and by Bayart and Matheron that the operator D of complex differentiation supports a hypercyclic algebra on the space of entire functions. In particular we obtain ...
Recurrence properties of hypercyclic operators

Bès, Juan Pablo; Menet, Quentin; Peris Manguillot, Alfredo; Puig-De Dios, Yunied (Springer-Verlag, 2016)

[EN] We generalize the notions of hypercyclic operators, U-frequently hypercyclic operators and frequently hypercyclic operators by introducing a new concept in linear dynamics, namely A-hypercyclicity. We then state an ...
Strong transitivity properties for operators

Bès, Juan Pablo; Menet, Quentin; Peris Manguillot, Alfredo; Puig-De Dios, Yunied (Elsevier, 2019-01-15)

[EN] Given a Furstenberg family F of subsets of N, an operator T on a topological vector space X is called F-transitive provided for each non-empty open subsets U, V of X the set {n is an element of Z(+) : T-n (U) boolean ...