Backward Φ-shifts and universality
Copyright policy )Backward Φ-shifts and universality
In this paper we consider spaces of sequences which are valued in a topological space E and study generalized backward shifts associated to certain selfmappings of E. We characterize their universality in terms of dynamical properties of the underlying selfmappings. Applications to hypercyclicity theory are given. In particular, Rolewicz’s theorem on hypercyclicity of scalar multiples of the classical backward shift is extended.
Plan Andaluz de Investigación (Junta de Andalucía)
- University of Seville Spain
Rolewicz’s theorem, lp spaces, Hypercyclic operator, Applied Mathematics, Φ-product map, Sequence space, Universal mapping, Analysis, Backward Φ-shift, Rolewicz's theorem
Rolewicz’s theorem, lp spaces, Hypercyclic operator, Applied Mathematics, Φ-product map, Sequence space, Universal mapping, Analysis, Backward Φ-shift, Rolewicz's theorem
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