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

By Eli Glasner, Michael Megrelishvili. 2008

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3f65ee1d1e7282b6df672d737823933c6ba63d8e