Epsilon-hypercyclic operators on a Hilbert space

• Autores: Frédéric Bayart
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 4037-4043
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10414-8
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• Resumen

  • For every fixed , we construct a bounded linear operator on the separable Hilbert space having an orbit which intersects every cone of aperture , but such that every orbit avoids a certain ball of positive radius (which depends on the orbit) and a fixed centre.