Backward Φ-shifts and universality

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:306

Article

Bernal-González, L

关键词: sequence space;    universal mapping;    backward Phi-shift;    Phi-product map;    l(p) spaces;    hypercyclic operator;    Rolewicz's theorem;   

DOI  :  10.1016/j.jmaa.2004.12.038

来源: Elsevier

【 摘 要 】

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. (c) 2005 Elsevier Inc. All rights reserved.

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