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On the Mazur-Ulam problem in linear 2-normed spaces |
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| Authors: | Hahng-Yun Chu |
| Affiliation: | Department of Mathematical Science, Seoul National University, Seoul 151-747, South Korea |
| Abstract: | We study the notion of 2-isometry which is suitable to represent the concept of area preserving mapping in linear 2-normed spaces, and then prove the Mazur-Ulam problem in linear 2-normed spaces. |
| Keywords: | Mazur-Ulam theorem Linear 2-normed space 2-Isometry |
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