Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/9049
| Títulos: | Remarks on isometries of products of linear spaces |
| Autores/as: | Bachir, Mohammed |
| Palabras clave: | Normed space;Isometry;Espacio normado;Isometría |
| Fecha de publicación: | 2015 |
| Editor/a: | Universidad de Extremadura |
| Resumen: | Given two normed spaces X, Y , the aim of this paper is establish that the existence of an isomorphism isometric between X ⨉ ℝ and Y ⨉ ℝ is equivalent to the existence of an isometric isomorphism between X and Y , provided the norms satisfy an appropriate condition. By means of a counterexample, it is shown that this result fails for arbitrary norms even if X = Y = ℝ² |
| URI: | http://hdl.handle.net/10662/9049 |
| Colección: | Extracta Mathematicae Vol. 30, nº 1 (2015) |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_30_1_1.pdf | 122,35 kB | Adobe PDF | Descargar |
Este elemento está sujeto a una licencia Licencia Creative Commons
