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http://hdl.handle.net/10662/9049
| Title: | Remarks on isometries of products of linear spaces |
| Authors: | Bachir, Mohammed |
| Keywords: | Normed space;Isometry;Espacio normado;Isometría |
| Issue Date: | 2015 |
| Publisher: | Universidad de Extremadura |
| Abstract: | 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 |
| Appears in Collections: | Extracta Mathematicae Vol. 30, nº 1 (2015) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_30_1_1.pdf | 122,35 kB | Adobe PDF | View/Open |
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