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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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
Keywords
- Frequently hypercyclic operator
- Frequently hypercyclic subspace
- Left-multiplication operator
- Frequently hypercyclic tensor product