Details

Autor(en) / Beteiligte

• Bermúdez, T.
• Bonilla, A.
• Martínez-Giménez, F.
• Peris, A.

Titel

Li–Yorke and distributionally chaotic operators

Ist Teil von

• Journal of mathematical analysis and applications, 2011, Vol.373 (1), p.83-93

Ort / Verlag

Amsterdam: Elsevier Inc

Erscheinungsjahr

2011

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We study Li–Yorke chaos and distributional chaos for operators on Banach spaces. More precisely, we characterize Li–Yorke chaos in terms of the existence of irregular vectors. Sufficient “computable” criteria for distributional and Li–Yorke chaos are given, together with the existence of dense scrambled sets under some additional conditions. We also obtain certain spectral properties. Finally, we show that every infinite dimensional separable Banach space admits a distributionally chaotic operator which is also hypercyclic.