The Ramsey property for Banach spaces and Choquet simplices, and applications

被引：4

作者：

Bartosova, Dana ^{[1
]}

Lopez-Abad, Jordi ^{[2
]}

Lupini, Martino ^{[3
]}

Mbombo, Brice ^{[4
]}

机构：

[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

[2] UNED, Fac Ciencias, Dept Matemat Fundamentales, Madrid 28040, Spain

[3] CALTECH, Math Dept, 1200 E Calif Blvd,MC 253-37, Pasadena, CA 91125 USA

[4] Univ Ottawa, Dept Math & Stat, Ottawa, ON K1N 6N5, Canada

来源：

COMPTES RENDUS MATHEMATIQUE | 2017年 / 355卷 / 12期

基金：

巴西圣保罗研究基金会;

关键词：

FRAISSE LIMITS; FLOWS;

D O I：

10.1016/j.crma.2017.11.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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) curved right arrow 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-Tornquist. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：1242 / 1246

页数：5

共 17 条

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