Small sets and hypercyclic vectors

Frédéric Bayart; Étienne Matheron; Pierre Moreau

Commentationes Mathematicae Universitatis Carolinae (2008)

  • Volume: 49, Issue: 1, page 53-65
  • ISSN: 0010-2628

Abstract

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We study the ``smallness'' of the set of non-hypercyclic vectors for some classical hypercyclic operators.

How to cite

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Bayart, Frédéric, Matheron, Étienne, and Moreau, Pierre. "Small sets and hypercyclic vectors." Commentationes Mathematicae Universitatis Carolinae 49.1 (2008): 53-65. <http://eudml.org/doc/250294>.

@article{Bayart2008,
abstract = {We study the ``smallness'' of the set of non-hypercyclic vectors for some classical hypercyclic operators.},
author = {Bayart, Frédéric, Matheron, Étienne, Moreau, Pierre},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {hypercyclic operators; porous sets; Haar-null sets; hypercyclic operator; porous set; Haar-null set},
language = {eng},
number = {1},
pages = {53-65},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Small sets and hypercyclic vectors},
url = {http://eudml.org/doc/250294},
volume = {49},
year = {2008},
}

TY - JOUR
AU - Bayart, Frédéric
AU - Matheron, Étienne
AU - Moreau, Pierre
TI - Small sets and hypercyclic vectors
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 1
SP - 53
EP - 65
AB - We study the ``smallness'' of the set of non-hypercyclic vectors for some classical hypercyclic operators.
LA - eng
KW - hypercyclic operators; porous sets; Haar-null sets; hypercyclic operator; porous set; Haar-null set
UR - http://eudml.org/doc/250294
ER -

References

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  7. Ott W., Yorke J.A., 10.1090/S0273-0979-05-01060-8, Bull. Amer. Math. Soc. 42 (2005), 263-290. (2005) Zbl1111.28014MR2149086DOI10.1090/S0273-0979-05-01060-8
  8. Salas H., 10.1090/S0002-9947-1995-1249890-6, Trans. Amer. Math. Soc. 347 (1995), 3 993-1004. (1995) Zbl0822.47030MR1249890DOI10.1090/S0002-9947-1995-1249890-6
  9. Zajíček L., Porosity and σ -porosity, Real Anal. Exchange 13 (1987-1988), 2 314-350. (1987-1988) MR0943561
  10. Zajíček L., Sets of σ -porosity and sets of σ -porosity ( q ) , Časopis Pěst. Mat. 101 (1976), 350-359. (1976) Zbl0341.30026MR0457731

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