Hypercyclic operators on non-locally convex spaces

Wengenroth, Jochen

doi:10.1090/S0002-9939-03-07003-5

Hypercyclic operators on non-locally convex spaces
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Proc. Amer. Math. Soc. 131 (2003), 1759-1761 Request permission

Abstract:

We transfer a number of fundamental results about hypercyclic operators on locally convex spaces (due to Ansari, Bès, 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].

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