Coarse topological transitivity on open cones and coarsely \(J\)-class and \(D\)-class operators

DOI10.1016/j.jmaa.2013.12.038zbMath1308.47008arXiv1306.5331OpenAlexW2004737273MaRDI QIDQ2338696

Antonios Manoussos

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5331

zbMATH Keywords

topological transitivityhypercyclicityopen cone\(J\)-class operatorcoarse hypercyclicitycoarse topological transitivitycoarsely \(D\)-class operatorcoarsely \(J\)-class operator

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (2)

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Cites Work

• A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
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• Linear semigroups with coarsely dense orbits
• On the existence of $J$-class operators on Banach spaces
• A Birkhoff type transitivity theorem for non-separable completely metrizable spaces with applications to linear dynamics
• J-class operators and hypercyclicity
• Saturated extensions, the attractors method and Hereditarily James Tree Space
• On hypercyclic operators on Banach spaces
• Somewhere dense orbits are everywhere dense
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