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The Blum-Hanson property

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Publication:1988332
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DOI10.1515/CONOP-2019-0009zbMath1443.47011OpenAlexW2999232830MaRDI QIDQ1988332

Sophie Grivaux

Publication date: 23 April 2020

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/conop-2019-0009


zbMATH Keywords

Blum-Hanson property\(L^p\) spacescomposition operators on \(C(K)\)-spacesmean ergodic theorem along subsequencesstrongly mixing dynamical systems


Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Linear composition operators (47B33)





Cites Work

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  • Ergodic theorems. With a supplement by Antoine Brunel
  • On mixing and partial mixing
  • On operator convergence in Hilbert space and in Lebesgue space
  • A counter example to the Blum Hanson theorem in general spaces
  • On the mean ergodic theorem for subsequences
  • Weak convergence of positive contractions implies strong convergence of averages
  • On the Individual Ergodic Theorem for Subsequences
  • Shorter Notes: A Note on the Blum-Hanson Theorem
  • Ergodic Theory
  • The Blum-Hanson property for \(\mathcal{C}(K)\) spaces




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