Published November 7, 2018
| Submitted
Journal Article
Open
Fraïssé limits in functional analysis
- Creators
-
Lupini, Martino
Abstract
We provide a unified approach to Fraïssé limits in functional analysis, including the Gurarij space, the Poulsen simplex, and their noncommutative analogs. We obtain in this general framework many known and new results about the Gurarij space and the Poulsen simplex, and at the same time establish their noncommutative analogs. Particularly, we construct noncommutative analogs of universal operators in the sense of Rota.
Additional Information
© 2018 Elsevier Inc. Received 15 February 2017; Received in revised form 21 August 2018; Accepted 23 August 2018. Available online 7 September 2018.. The author was supported by the York University Susan Mann Dissertation Scholarship, by the ERC Starting grant no. 259527 of Goulnara Arzhantseva, and by the NSF Grant DMS-1600186. Part of this work was done while the author was visiting the Instituto de Ciencias Matemáticas in Madrid. The hospitality of the Institute is gratefully acknowledged.Attached Files
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Additional details
- Eprint ID
- 89474
- Resolver ID
- CaltechAUTHORS:20180910-084225166
- York University
- 259527
- European Research Council (ERC)
- DMS-1600186
- NSF
- Created
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2018-09-10Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field