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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Invariant manifolds of hypercyclic vectors for the real scalar case
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by Juan P. Bès PDF
Proc. Amer. Math. Soc. 127 (1999), 1801-1804 Request permission

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
  • 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