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arXiv · 1308.3789

Existence and non-existence of frequently hypercyclic subspaces for weighted shifts

Quentin Menet
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Abstract

We study the existence and the non-existence of frequently hypercyclic subspaces in Banach spaces. In particular, we give an example of a weighted shift on lp possessing a frequently hypercyclic subspace and an example of a frequently hypercyclic weighted shift on lp possessing a hypercyclic subspace but no frequently hypercyclic subspace. The latter example allows us to answer positively Problem 1 posed by Bonilla and Grosse-Erdmann in [Monatsh. Math. 168 (2012)].

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Quentin Menet. 2013-08-17. Existence and non-existence of frequently hypercyclic subspaces for weighted shifts. https://arxiv.org/abs/1308.3789

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