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http://hdl.handle.net/10662/9019
| Title: | Linear extensions, almost isometries, and diameter two |
| Authors: | Abrahamsen, Trond A. |
| Keywords: | Almost isometric ideal;Diameter 2 property;Daugavet property;Octahedral space;Almost square space;Ideal casi isométrico;Propiedad del diámetro 2;Propiedad de Daugavet;Espacio octaédrico;Espacio casi cuadrado |
| Issue Date: | 2015 |
| Publisher: | Universidad de Extremadura |
| Abstract: | Heinrich, Mankiewicz, Sims, and Yost proved that every separable subspace of a Banach space Y is contained in a separable ideal in Y . We improve this result by replacing the term "ideal" with the term "almost isometric ideal". As a consequence of this we obtain, in terms of subspaces, characterizations of diameter 2 properties, the Daugavet property along with the properties of being an almost square space and an octahedral space. |
| URI: | http://hdl.handle.net/10662/9019 |
| Appears in Collections: | Extracta Mathematicae Vol. 30, nº 2 (2015) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_30_2_135.pdf | 137,37 kB | Adobe PDF | View/Open |
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