Published December 2017
| Submitted
Journal Article
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The Ramsey property for Banach spaces and Choquet simplices, and applications
Chicago
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Abstract
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)↷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.
Additional Information
© 2017 Published by Elsevier Masson SAS on behalf of Académie des sciences. Received 11 August 2017, Accepted 6 November 2017, Available online 13 November 2017. Supported by the grant FAPESP2013/14458-9. Partially supported by the grant MTM 2012-31286 (Spain) and the FAPESP Grant 2013/24827-1 (Brazil). Partially supported by the NSF Grant DMS-1600186. Supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP), processo 12/20084-1.Attached Files
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Additional details
- Alternative title
- La propriété de Ramsey des espace de Banach et des simplexes de Choquet, et applications
- Alternative title
- The Ramsey property for Banach spaces, Choquet simplices, and their noncommutative analogs
- Eprint ID
- 83189
- Resolver ID
- CaltechAUTHORS:20171114-101004056
- Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)
- 2013/14458-9
- Ministerio de Economía, Industria y Competitividad (MINECO)
- MTM 2012-31286
- Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)
- 2013/24827-1
- NSF
- DMS-1600186
- Fundação de Amparo à Pesquisa do Estado de Sao Paulo (FAPESP)
- 12/20084-1
- Created
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2017-11-14Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field