Full paper in PDF:
$% S. Grivaux, Hypercyclic operators with an infinite dimensional closed subspace of periodic points, Rev. Mat. Complut. 16 (2003), 383390.%$

Hypercyclic Operators with an Infinite Dimensional Closed Subspace of Periodic Points

Sophie GRIVAUX
Équipe d’Analyse
Université Paris 6, Case 186
4, Place Jussieu
75252 Paris Cedex 05 France

Received: September 13, 2002
Accepted: February 12, 2003
ABSTRACT

Let X be an infinite dimensional separable Banach space. There exists a hypercyclic operator on X which is equal to the identity operator on an infinite dimensional closed subspace of X.

Key words: hypercyclic operators, chaotic operators.
2000 Mathematics Subject Classification:
47A16.