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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) |
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2605-5686_22_2_179.pdf | 152,98 kB | Adobe PDF | View/Open |
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