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On hypercyclicity of linear relations

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Publication:1990690
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DOI10.1007/s00025-018-0900-zOpenAlexW2895657144WikidataQ129163605 ScholiaQ129163605MaRDI QIDQ1990690

Evgeny V. Abakumov, Maher Mnif, Mahdi Boudabbous

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0900-z


zbMATH Keywords

topological transitivitysomewhere dense orbitshypercyclic linear relations


Mathematics Subject Classification ID

Linear relations (multivalued linear operators) (47A06) Cyclic vectors, hypercyclic and chaotic operators (47A16)


Related Items

Distributional chaos and Li-Yorke chaos in metric spaces



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Linear chaos
  • Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces
  • Hypercyclic and cyclic vectors
  • Spectral mapping theorem for ascent, essential ascent, descent and essential descent spectrum of linear relations
  • Dynamics of multivalued linear operators
  • Somewhere dense orbits are everywhere dense
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