Some dynamical properties for linear operators

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dc.creatorHou, Bingzhe
dc.creatorTian, Geng
dc.creatorShi, Luoyi
dc.date2009-03-26
dc.date.accessioned2026-07-07T12:57:03Z
dc.date.available2026-07-07T12:57:03Z
dc.descriptionIn our another recent article, we introduce a new dynamical property for linear operators called norm-unimodality which implies distributional chaos. In the present paper, we'll give a further discussion of norm-unimodality. It is showed that norm-unimodality is similar invariant and the spectra of norm-unimodal operator is referred to. As an application, in each nest algebra there exist distributional chaotic operators. Moreover, normal operators and compact operators with regard to norm-unimodality and Li-Yorke chaos are also be considered. Specially, a small compact perturbation of the unit operator could be distributionally chaotic.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0903.4558
dc.identifierhttp://arxiv.org/abs/0903.4558
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224794
dc.subjectFunctional Analysis
dc.subjectDynamical Systems
dc.subject47B37; 47B99; 54H20; 37B99
dc.titleSome dynamical properties for linear operators
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