[EN] We characterize chaos for \phi;(B) on Banach sequence spaces, where \phi; is a Linear Fractional Transformation and B is the usual backward shift operator. Characterizations are computable since they involve only the ...
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 ...
[EN] We study product recurrence properties for weighted backward shifts on sequence spaces. The backward shifts that have non-zero product recurrent points are characterized as Devaney chaotic shifts. We also give an ...