Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/14636
| Títulos: | Isometries of ultrametric normed spaces |
| Autores/as: | Cabello Sánchez, Javier Navarro Garmendia, José |
| Palabras clave: | Mazur–Ulam theorem;Isometries;Ultrametric normed spaces;Teorema de Mazur-Ulam;Isometrías;Espacios normados ultramétricos |
| Fecha de publicación: | 2021 |
| Editor/a: | Springer |
| Resumen: | We show that the group of isometries of an ultrametric normed space can be seen as a kind of a fractal. Then, we apply this description to study ultrametric counterparts of some classical problems in Archimedean analysis, such as the so called Problème des rotations de Mazur or Tingley’s problem. In particular, it turns out that, in contrast with the case of real normed spaces, isometries between ultrametric normed spaces can be very far from being linear. |
| URI: | http://hdl.handle.net/10662/14636 |
| DOI: | 10.1007/s43034-021-00144-7 |
| Colección: | DMATE - Artículos |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| s43034-021-00144-7.pdf | 2,18 MB | Adobe PDF | Descargar |
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