Linear dynamical systems on Hilbert spaces: typical properties and explicit examples

DOI10.1090/memo/1315zbMath1479.47002arXiv1703.01854OpenAlexW3037223210MaRDI QIDQ4995489

Sophie Grivaux, Étienne Matheron, Quentin Menet

Publication date: 24 June 2021

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01854

zbMATH Keywords

chaosergodicityHilbert spaceslinear dynamical systemstopological mixingBaire category(co)comeagre setsfrequent and \( \mathcal U\)-frequent hypercyclicity

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Baire category, Baire spaces (54E52) Ergodic theory of linear operators (47A35) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Cyclic vectors, hypercyclic and chaotic operators (47A16)

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