Representations of dynamical systems on Banach spaces not containing $l_1$

E. Glasner; M. Megrelishvili

Representations of dynamical systems on Banach spaces not containing $l_1$

Dynamical Systems 2012-06-14 v3 Functional Analysis General Topology

Authors: E. Glasner , M. Megrelishvili

Abstract

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.

Keywords

dynamical systems Banach spaces Rosenthal spaces tame systems topological groups linear representations $l_1$

Cite

@article{arxiv.0803.2320,
  title  = {Representations of dynamical systems on Banach spaces not containing $l_1$},
  author = {E. Glasner and M. Megrelishvili},
  journal= {arXiv preprint arXiv:0803.2320},
  year   = {2012}
}

Comments

27 pages, revised version, to appear in Trans. AMS

Representations of dynamical systems on Banach spaces not containing $l_1$

Abstract

Keywords

Cite

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