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Hypercyclic subspaces in omega
Authors:Juan Bès  José A Conejero
Institution:a Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA
b Departamento de Matemática Aplicada, Facultad de Informática and IMPA, Universidad Politécnica de Valencia, E-46022 Valencia, Spain
Abstract:We show that any countable family of operators of the form P(B), where P is a non-constant polynomial and B is the backward shift operator on ω, the countably infinite product of lines, has a common hypercyclic subspace.
Keywords:Hypercyclic operators  Hypercyclic subspaces  Fré  chet spaces
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