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Hypercyclic operators on non-locally convex spaces
Authors:Jochen Wengenroth
Institution:FB IV -- Mathematik, Universität Trier, D -- 54286 Trier, Germany
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].

Keywords:Hypercyclic operators  supercyclic operators  multi-hypercyclic operators
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