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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Porosity and hypercyclic operators

Author(s): Frédéric Bayart
Journal: Proc. Amer. Math. Soc. 133 (2005), 3309-3316.
MSC (2000): Primary 47A16, 28A05
Posted: May 9, 2005
MathSciNet review: 2161154
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Abstract | References | Similar articles | Additional information

Abstract: We study if the set of hypercyclic vectors of a hypercyclic operator is the complement of a $\sigma$-porous set. This leads to interesting results for both points of view: a limitation of the size of hypercyclic vectors, and new examples of first category sets which are not $\sigma$-porous.

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Additional Information:

Frédéric Bayart
Affiliation: Laboratoire Bordelais d'Analyse et de Géométrie, UMR 5467, Université Bordeaux 1, 351 Cours de la Libération, F-33405 Talence cedex, France
Email: bayart@math.u-bordeaux.fr

DOI: 10.1090/S0002-9939-05-07842-1
PII: S 0002-9939(05)07842-1
Keywords: Porous sets, hypercyclic operators
Received by editor(s): January 27, 2004
Received by editor(s) in revised form: June 17, 2004
Posted: May 9, 2005
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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