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

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

2008-03-15

arxiv.org/abs/0803.2320v2

Mathematics

Dynamical Systems

27 pages, revised version

Scientific paper

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.

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