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arXiv:0803.2320 [math.DS]AbstractReferencesReviewsResources

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

E. Glasner, M. Megrelishvili

Published 2008-03-15, updated 2012-06-13Version 3

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.

Comments: 27 pages, revised version, to appear in Trans. AMS
Categories: math.DS, math.FA, math.GN
Subjects: 37Bxx, 54H20, 54H15
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