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A Note on Supercyclic Operators in Locally Convex Spaces

  • Angela A. AlbaneseEmail author
  • David Jornet
Article
  • 18 Downloads

Abstract

We treat some questions related to supercyclicity of continuous linear operators when acting in locally convex spaces. We extend results of Ansari and Bourdon and consider doubly power bounded operators in this general setting. Some examples are given.

Keywords

Supercyclic operators doubly power bounded operators isometry locally convex spaces 

Mathematics Subject Classification

Primary 46A04 47A16 

Notes

Acknowledgements

We are indebted to Prof. José Bonet for his helpful suggestions on the topic of this paper. The authors were partially supported by the project MTM2016-76647-P.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Dipartimento di Matematica e Fisica “E. De Giorgi”Università del SalentoLecceItaly
  2. 2.Instituto Universitario de Matemática Pura y Aplicada IUMPAUniversitat Politècnica de ValènciaValenciaSpain

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