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 ...
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 ...
[EN] In this note we study the spectrum and the Waelbroeck spectrum of the derivative operator composed with isomorphic multiplication operators defined in the space of smooth functions in [0, 1] which are flat at 0.
Bonet Solves, José Antonio(John Wiley & Sons, 2020-08)
[EN] Continuity, compactness, the spectrum and ergodic properties of the differentiation operator are investigated, when it acts in the Frechet space of all Dirichlet series that are uniformly convergent in all half-planes ...