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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1849308649317466112 |
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| author | Yumei Ma |
| author_facet | Yumei Ma |
| author_sort | Yumei Ma |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0e9d3ad4d8a94cdab1ff45ba1a4580de |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-0e9d3ad4d8a94cdab1ff45ba1a4580de2025-08-20T03:54:24ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/394216394216On the Aleksandrov-Rassias Problems on Linear n-Normed SpacesYumei Ma0Department of Mathematics, Dalian Nationality University, Dalian 116600, ChinaThis 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.http://dx.doi.org/10.1155/2013/394216 |
| spellingShingle | Yumei Ma On the Aleksandrov-Rassias Problems on Linear n-Normed Spaces Journal of Function Spaces and Applications |
| title | On the Aleksandrov-Rassias Problems on Linear n-Normed Spaces |
| title_full | On the Aleksandrov-Rassias Problems on Linear n-Normed Spaces |
| title_fullStr | On the Aleksandrov-Rassias Problems on Linear n-Normed Spaces |
| title_full_unstemmed | On the Aleksandrov-Rassias Problems on Linear n-Normed Spaces |
| title_short | On the Aleksandrov-Rassias Problems on Linear n-Normed Spaces |
| title_sort | on the aleksandrov rassias problems on linear n normed spaces |
| url | http://dx.doi.org/10.1155/2013/394216 |
| work_keys_str_mv | AT yumeima onthealeksandrovrassiasproblemsonlinearnnormedspaces |