Some remarks on distributional chaos for bounded linear operators

DOI10.3906/mat-1403-41zbMath1335.47006arXiv1503.06750OpenAlexW2152374236MaRDI QIDQ5249118

Lvlin Luo, Bingzhe Hou

Publication date: 29 April 2015

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06750

zbMATH Keywords

operatorstopological conjugacystrong mixingweighted shiftsdistributional chaos

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (16)

Ergodic and dynamical properties of \(m\)-isometries ⋮ Growth orders and ergodicity for absolutely Cesàro bounded operators ⋮ Disjoint Li-Yorke chaos in Fr\'echet spaces ⋮ Cesàro bounded operators in Banach spaces ⋮ Distributional chaos for operators on Banach spaces ⋮ Disjoint distributional chaos in Fréchet spaces ⋮ Cowen-Douglas function and its application on chaos ⋮ Reiterative \(m_n\)-distributional chaos of type \(s\) in Fréchet spaces ⋮ Li--Yorke chaos for invertible mappings on noncompact spaces ⋮ Li-Yorke chaos for invertible mappings on compact metric spaces ⋮ Operator inequalities, functional models and ergodicity ⋮ Mean Li-Yorke chaos in Banach spaces ⋮ Mirror operator and its application on chaos ⋮ Resolvent conditions and growth of powers of operators ⋮ Distributional chaos and Li-Yorke chaos in metric spaces ⋮ Characteristics of (α,β)-Mean Li–Yorke Chaos of Linear Operators on Banach Spaces

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