Geodesic
Small sets and hypercyclic vectors
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 53-65.

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We study the ``smallness'' of the set of non-hypercyclic vectors for some classical hypercyclic operators.
Classification : 28A05, 47A16, 47B37
Keywords: hypercyclic operators; porous sets; Haar-null sets 
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Bayart, F.; Matheron, É.; Moreau, P. Small sets and hypercyclic vectors. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 53-65. http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a5/