The Ramsey property for Banach spaces and Choquet simplices, and applications
نویسندگان
چکیده
We show that the class of finite-dimensional Banach spaces and the class of finite-dimensional Choquet simplices have the Ramsey property. As an application, we show that the group Aut(G) of surjective linear isometries of the Gurarij space G is extremely amenable, and that the canonical action Aut(P) y P is the universal minimal flow of the group Aut(P) of affine homeomorphisms of the Poulsen simplex P. This answers questions of Melleray–Tsankov and Conley–Törnquist. To cite this article :
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تاریخ انتشار 2017