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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Invariant manifolds of hypercyclic vectors
for the real scalar case


Author: Juan P. Bès
Journal: Proc. Amer. Math. Soc. 127 (1999), 1801-1804
MSC (1991): Primary 47A15, 47A99
Published electronically: February 18, 1999
MathSciNet review: 1485460
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Abstract: We show that every hypercyclic operator on a real locally convex vector space admits a dense invariant linear manifold of hypercyclic vectors.


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Additional Information

Juan P. Bès
Affiliation: Department of Mathematics and Computer Science, Kent State University, Kent, Ohio 44242
Address at time of publication: Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403
Email: jbes@mcs.kent.edu, jbes@math.bgsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04720-6
PII: S 0002-9939(99)04720-6
Received by editor(s): September 17, 1997
Published electronically: February 18, 1999
Additional Notes: The author wishes to thank the support of the Center for International and Comparative Programms and the Graduate Student Senate of Kent State University.
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1999 American Mathematical Society