Norms of hypercyclic sequences.
Bernal-González, Luis (2004)
Mathematica Pannonica
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Bernal-González, Luis (2004)
Mathematica Pannonica
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Karl-Goswin Grosse-Erdmann (2003)
RACSAM
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In these notes we report on recent progress in the theory of hypercyclic and chaotic operators. Our discussion will be guided by the following fundamental problems: How do we recognize hypercyclic operators? How many vectors are hypercyclic? How many operators are hypercyclic? How big can non-dense orbits be?
Fernando León-Saavedra (2003)
Mathematica Slovaca
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W. Kulpa, A. Szymański (1981)
Colloquium Mathematicae
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Frédéric Bayart, Étienne Matheron, Pierre Moreau (2008)
Commentationes Mathematicae Universitatis Carolinae
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We study the ``smallness'' of the set of non-hypercyclic vectors for some classical hypercyclic operators.