Full paper in PDF:
$% S. Grivaux, Hypercyclic operators with an infinite dimensional closed subspace of
periodic points, Rev. Mat. Complut. 16 (2003), 383–390.%$
Hypercyclic Operators with an Infinite Dimensional Closed Subspace of Periodic Points
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.