A Birkhoff type transitivity theorem for non-separable completely metrizable spaces with applications to linear dynamics

DOI10.7900/jot.2011may12.1971zbMath1289.47016arXiv1105.2429WikidataQ113688402 ScholiaQ113688402MaRDI QIDQ2859492

Antonios Manoussos

Publication date: 8 November 2013

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2429

zbMATH Keywords

topological transitivityhypercyclicity\(J\)-setalmost topological transitivityBirkhoff's transitivity theorem

Mathematics Subject Classification ID

Topological dynamics (37B99) Transformation groups and semigroups (topological aspects) (54H15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (3)

On the existence of polynomials with chaotic behaviour ⋮ Topological transitivity of shift similar operators on nonseparable Hilbert spaces ⋮ Coarse topological transitivity on open cones and coarsely \(J\)-class and \(D\)-class operators

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