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http://hdl.handle.net/10662/15692
| Title: | Isometric embeddings and universal spaces |
| Authors: | Godefroy, G. Kalton, N.J. |
| Keywords: | Espacio isométricamente universal;Norma estrictamente convexa;Árbol bien fundamentado;Isometrically universal space;Strictly convex norm;Well-founded tree. |
| Issue Date: | 2007 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | We show that if a separable Banach space 𝑍 contains isometric copies of every strictly convex separable Banach space, then 𝑍 actually contains an isometric copy of every separable Banach space. We prove that if 𝑌 is any separable Banach space of dimension at least 2, then the collection of separable Banach spaces which contain an isometric copy of 𝑌 is analytic non Borel. |
| Description: | This work has been completed during the Cáceres Conference in September 2006. |
| URI: | http://hdl.handle.net/10662/15692 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 22, nº 2 (2007) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_22_2_179.pdf | 152,98 kB | Adobe PDF | View/Open |
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