A. Bonilla
University of La Laguna
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Publication
Featured researches published by A. Bonilla.
Bulletin of The Australian Mathematical Society | 2004
Teresa Bermúdez; A. Bonilla; Alfredo Peris
We show that the Hypercyclicity Criterion coincides with other existing hypercyclicity criteria and prove that a wide class of hypercyclic operators satisfy the Criterion. The results obtained extend or improve earlier work of several authors. We also unify the different versions of the Supercyclicity Criterion and show that operators with dense generalised kernel and dense range are supercyclic.
Proceedings of the American Mathematical Society | 2003
Teresa Bermúdez; A. Bonilla; Antonio Martinón
We prove that every separable infinite dimensional complex Banach space admits a hypercyclic uniformly continuous semigroup. We also prove that there exist Banach spaces admitting no chaotic strongly continuous semigroups.
Proceedings of the American Mathematical Society | 2007
A. Bonilla; Pedro J. Miana
Our first aim in this paper is to give sufficient conditions for the hypercyclicity and topological mixing of a strongly continuous cosine function. We apply these results to study the cosine function associated to translation groups. We also prove that every separable infinite dimensional complex Banach space admits a topologically mixing uniformly continuous cosine family.
Revista Matematica Complutense | 2018
A. Bonilla; Karl-Goswin Grosse-Erdmann
Enhancing a recent result of Bayart and Ruzsa we obtain a Birkhoff-type characterization of upper frequently hypercyclic operators and a corresponding Upper Frequent Hypercyclicity Criterion. As an application we characterize upper frequently hypercyclic weighted backward shifts on sequence spaces, which in turn allows us to come up with various counter-examples in linear dynamics that are substantially simpler than those previously obtained in the literature. More generally, we introduce the notion of upper Furstenberg families
Revista Matematica Iberoamericana | 2009
A. Bonilla; M. C. Calderón-Moreno; J. A. Prado-Bassas
Journal D Analyse Mathematique | 1997
A. Bonilla; Fernando Pérez-González; Arne Stray; Rodrigo Trujillo-González
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Analysis | 2006
A. Bonilla; M. C. Calderón-Moreno
Complex Variables and Elliptic Equations | 1996
A. Bonilla; F. Pérez-González; R. Trujillo-González
A and show that our main results hold for the corresponding
Complex Variables and Elliptic Equations | 1995
A. Bonilla; J. C. Fariña
Complex Variables and Elliptic Equations | 2016
A. Bonilla
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