Common hypercyclic vectors for families of backward shift operators

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 31 Jan 2017Embargo end date: 01 Jan 2015Publisher:Theta FoundationJournal:Journal of Operator Theory, volume 77, pages 3-17 (issn: 0379-4024, eissn: 1841-7744,

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Authors: Tsirivas, Nikos;

doi: 10.7900/jot.2015jun13.2106 , 10.48550/arxiv.1506.04124

arXiv: 1506.04124

Common hypercyclic vectors for families of backward shift operators

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Abstract

We provide necessary and sufficient conditions on the existence of common hypercyclic vectors for multiples of the backward shift operator along sparse powers. Our main result strongly generalizes corresponding results which concern the full orbit of the backward shift. Some of our results are valid in a more general context, in the sense that they apply for a wide class of hypercyclic operators.

Keywords

Mathematics - Functional Analysis, FOS: Mathematics, 47A16, Functional Analysis (math.FA)

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