On the Aleksandrov-Rassias Problems on Linear n-Normed Spaces
This paper generalizes T. M. Rassias' results in 1993 to n-normed spaces. If X and Y are two real n-normed spaces and Y is n-strictly convex, a surjective mapping f:X→Y preserving unit distance in both directions and preserving any integer distance is an n-isometry.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/394216 |
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| Summary: | This paper generalizes T. M. Rassias' results in 1993 to n-normed spaces. If X and Y are two real n-normed spaces and Y is n-strictly convex, a surjective mapping f:X→Y preserving unit distance in both directions and preserving any integer distance is an n-isometry. |
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| ISSN: | 0972-6802 1758-4965 |