Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Hypercyclic operators on non-locally convex spaces

Author: Jochen Wengenroth
Journal: Proc. Amer. Math. Soc. 131 (2003), 1759-1761
MSC (2000): Primary 47A16, 46A16
Published electronically: January 15, 2003
MathSciNet review: 1955262
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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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Additional Information

Jochen Wengenroth
Affiliation: FB IV – Mathematik, Universität Trier, D – 54286 Trier, Germany

Keywords: Hypercyclic operators, supercyclic operators, multi-hypercyclic operators
Received by editor(s): November 23, 2001
Published electronically: January 15, 2003
Additional Notes: The author is indebted to Alfredo Peris for several very helpful remarks on a former version of this note.
Communicated by: Jonathan M. Borwein
Article copyright: © Copyright 2003 American Mathematical Society