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Cyclicity of bicyclic operators

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Publication:877988
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DOI10.1016/J.CRMA.2007.02.008zbMath1116.47007OpenAlexW2048722371MaRDI QIDQ877988

Sophie Grivaux, Aharon Atzmon, Evgeny V. Abakumov

Publication date: 4 May 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.02.008


zbMATH Keywords

shift operatorcyclic operatorbicyclic operator


Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)





Cites Work

  • Completeness in \(L^1(\mathbb R)\) of discrete translates
  • Operators which are annihilated by analytic functions and invariant subspaces
  • Generating sets for Beurling algebras
  • Subnormal operators
  • Universal families and hypercyclic operators
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