Conejero Casares, José Alberto; Martínez Jiménez, Félix(Springer Verlag (Germany), 2011-09)
We give sufficient conditions for chaos of (differential) operators on Hilbert spaces of entire functions. To this aim we establish conditions on the coefficients of a polynomial P(z) such that P(B) is chaotic on the space ...
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, ...