Hypercyclic operators on non-locally convex spaces

摘要

We transfer a number of fundamental results about hypercyclic operators on locally convex spaces (due to Ansari, Bes, Bourdon, Costakis, Feldman, and Peris) to the non-locally convex situation. This answers a problem posed by A. Peris [Multi-hypercyclic operators are hypercyclic, Math. Z. 236 (2001), 779-786]. [References: 8]