Invariant manifolds of hypercyclic vectors for the real scalar case
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- by Juan P. Bès
- Proc. Amer. Math. Soc. 127 (1999), 1801-1804
- DOI: https://doi.org/10.1090/S0002-9939-99-04720-6
- Published electronically: February 18, 1999
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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.References
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Bibliographic 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
- MR Author ID: 627632
- ORCID: 0000-0003-2395-3405
- Email: jbes@mcs.kent.edu, jbes@math.bgsu.edu
- 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
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1801-1804
- MSC (1991): Primary 47A15, 47A99
- DOI: https://doi.org/10.1090/S0002-9939-99-04720-6
- MathSciNet review: 1485460