Existence and non-existence of frequently hypercyclic subspaces for weighted shifts
Dynamical Systems
2015-12-22 v2
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)].
Keywords
Cite
@article{arxiv.1308.3789,
title = {Existence and non-existence of frequently hypercyclic subspaces for weighted shifts},
author = {Quentin Menet},
journal= {arXiv preprint arXiv:1308.3789},
year = {2015}
}
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9 pages