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Frequently hypercyclic subspaces

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Abstract

We study the existence of frequently hypercyclic subspaces for a given operator, that is, the existence of closed infinite-dimensional subspaces in which every non-zero vector is frequently hypercyclic. We attack the problem with any of the three methods that have been used for hypercyclic subspaces: a constructive approach, an approach via left-multiplication operators, and an approach via tensor products.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de La Laguna, C/Astrofísico Francisco Sánchez, s/n, 38721, La Laguna, Tenerife, Spain

    A. Bonilla

  2. Institut de Mathématique, Université de Mons, Place du Parc 20, 7000, Mons, Belgium

    K.-G. Grosse-Erdmann

Authors
  1. A. Bonilla
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  2. K.-G. Grosse-Erdmann
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Correspondence to K.-G. Grosse-Erdmann.

Additional information

A. Bonilla is supported by MICINN and FEDER MTM2008-05891. K.-G. Grosse-Erdmann wants to thank the Department of Mathematical Analysis of the University of La Laguna for its hospitality.

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Bonilla, A., Grosse-Erdmann, KG. Frequently hypercyclic subspaces. Monatsh Math 168, 305–320 (2012). https://doi.org/10.1007/s00605-011-0369-2

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  • DOI: https://doi.org/10.1007/s00605-011-0369-2

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