Representations of dynamical systems on Banach spaces not containing L 1

E. Glasner*, M. Megrelishvili

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


For a topological group G, we show that a compact metric G-space is tame if and only if it can be linearly represented on a separable Banach space which does not contain an isomorphic copy of l 1 (we call such Banach spaces, Rosenthal spaces). With this goal in mind we study tame dynamical systems and their representations on Banach spaces.

Original languageEnglish
Pages (from-to)6395-6424
Number of pages30
JournalTransactions of the American Mathematical Society
Issue number12
StatePublished - 2012


  • Baire one function
  • Banach representation of dynamical systems
  • Enveloping semigroup
  • Fragmentability
  • Rosenthal's compact
  • Rosenthal's dichotomy
  • Tame system


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